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Finding the Fourth Proportional to 1,080.76, 1,491.54 and 914.76

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Solution

The fourth proportional to 1,080.76, 1,491.54 and 914.76 is: 1,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.76 : 1,491.54 = 914.76 : x
  2. Step 2: Convert to fraction form
    1,080.76/1,491.54 = 914.76/x
  3. Step 3: Cross multiply
    1,080.76x = 1,491.54 × 914.76
  4. Step 4: Simplify right side
    1,080.76x = 1,364,401.13
  5. Step 5: Solve for x
    x = 1,364,401.13/1,080.76
  6. Step 6: Final answer
    x = 1,262.45

Related Problems

Find fourth proportional to 540.38, 745.77 and 457.38
Half scale
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Double scale
Find fourth proportional to 1,081.76, 1,492.92 and 915.76
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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.