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Finding the Fourth Proportional to 691.86, 954.76 and 397.12

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Solution

The fourth proportional to 691.86, 954.76 and 397.12 is: 548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.86 : 954.76 = 397.12 : x
  2. Step 2: Convert to fraction form
    691.86/954.76 = 397.12/x
  3. Step 3: Cross multiply
    691.86x = 954.76 × 397.12
  4. Step 4: Simplify right side
    691.86x = 379,154.29
  5. Step 5: Solve for x
    x = 379,154.29/691.86
  6. Step 6: Final answer
    x = 548.02

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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.