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Finding the Fourth Proportional to 766.24, 1,057.68 and 635.20

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Solution

The fourth proportional to 766.24, 1,057.68 and 635.20 is: 876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.24 : 1,057.68 = 635.20 : x
  2. Step 2: Convert to fraction form
    766.24/1,057.68 = 635.20/x
  3. Step 3: Cross multiply
    766.24x = 1,057.68 × 635.20
  4. Step 4: Simplify right side
    766.24x = 671,838.34
  5. Step 5: Solve for x
    x = 671,838.34/766.24
  6. Step 6: Final answer
    x = 876.80

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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.