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Finding the Fourth Proportional to 691.92, 954.45 and 429.75

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Solution

The fourth proportional to 691.92, 954.45 and 429.75 is: 592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.92 : 954.45 = 429.75 : x
  2. Step 2: Convert to fraction form
    691.92/954.45 = 429.75/x
  3. Step 3: Cross multiply
    691.92x = 954.45 × 429.75
  4. Step 4: Simplify right side
    691.92x = 410,174.89
  5. Step 5: Solve for x
    x = 410,174.89/691.92
  6. Step 6: Final answer
    x = 592.81

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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.