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Finding the Fourth Proportional to 1,510.94, 2,085.11 and 838.76

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Solution

The fourth proportional to 1,510.94, 2,085.11 and 838.76 is: 1,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.94 : 2,085.11 = 838.76 : x
  2. Step 2: Convert to fraction form
    1,510.94/2,085.11 = 838.76/x
  3. Step 3: Cross multiply
    1,510.94x = 2,085.11 × 838.76
  4. Step 4: Simplify right side
    1,510.94x = 1,748,892.24
  5. Step 5: Solve for x
    x = 1,748,892.24/1,510.94
  6. Step 6: Final answer
    x = 1,157.49

Related Problems

Find fourth proportional to 755.47, 1,042.55 and 419.38
Half scale
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Double scale
Find fourth proportional to 1,511.94, 2,086.49 and 839.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.