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Finding the Fourth Proportional to 762.92, 1,143.30 and 557.96

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Solution

The fourth proportional to 762.92, 1,143.30 and 557.96 is: 836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.92 : 1,143.30 = 557.96 : x
  2. Step 2: Convert to fraction form
    762.92/1,143.30 = 557.96/x
  3. Step 3: Cross multiply
    762.92x = 1,143.30 × 557.96
  4. Step 4: Simplify right side
    762.92x = 637,915.67
  5. Step 5: Solve for x
    x = 637,915.67/762.92
  6. Step 6: Final answer
    x = 836.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.