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Finding the Fourth Proportional to 763.11, 1,144.38 and 397.53

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Solution

The fourth proportional to 763.11, 1,144.38 and 397.53 is: 596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.11 : 1,144.38 = 397.53 : x
  2. Step 2: Convert to fraction form
    763.11/1,144.38 = 397.53/x
  3. Step 3: Cross multiply
    763.11x = 1,144.38 × 397.53
  4. Step 4: Simplify right side
    763.11x = 454,925.38
  5. Step 5: Solve for x
    x = 454,925.38/763.11
  6. Step 6: Final answer
    x = 596.15

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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.