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Finding the Fourth Proportional to 763.42, 1,143.34 and 557.47

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Solution

The fourth proportional to 763.42, 1,143.34 and 557.47 is: 834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.42 : 1,143.34 = 557.47 : x
  2. Step 2: Convert to fraction form
    763.42/1,143.34 = 557.47/x
  3. Step 3: Cross multiply
    763.42x = 1,143.34 × 557.47
  4. Step 4: Simplify right side
    763.42x = 637,380.61
  5. Step 5: Solve for x
    x = 637,380.61/763.42
  6. Step 6: Final answer
    x = 834.91

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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.