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Finding the Fourth Proportional to 1,510.75, 2,085.03 and 847.78

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Solution

The fourth proportional to 1,510.75, 2,085.03 and 847.78 is: 1,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.75 : 2,085.03 = 847.78 : x
  2. Step 2: Convert to fraction form
    1,510.75/2,085.03 = 847.78/x
  3. Step 3: Cross multiply
    1,510.75x = 2,085.03 × 847.78
  4. Step 4: Simplify right side
    1,510.75x = 1,767,646.73
  5. Step 5: Solve for x
    x = 1,767,646.73/1,510.75
  6. Step 6: Final answer
    x = 1,170.05

Related Problems

Find fourth proportional to 755.38, 1,042.52 and 423.89
Half scale
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Double scale
Find fourth proportional to 1,511.75, 2,086.41 and 848.78
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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.