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Finding the Fourth Proportional to 763.04, 1,143.54 and 397.73

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Solution

The fourth proportional to 763.04, 1,143.54 and 397.73 is: 596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.04 : 1,143.54 = 397.73 : x
  2. Step 2: Convert to fraction form
    763.04/1,143.54 = 397.73/x
  3. Step 3: Cross multiply
    763.04x = 1,143.54 × 397.73
  4. Step 4: Simplify right side
    763.04x = 454,818.30
  5. Step 5: Solve for x
    x = 454,818.30/763.04
  6. Step 6: Final answer
    x = 596.06

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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.