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Finding the Fourth Proportional to 691.16, 953.68 and 396.32

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Solution

The fourth proportional to 691.16, 953.68 and 396.32 is: 546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.16 : 953.68 = 396.32 : x
  2. Step 2: Convert to fraction form
    691.16/953.68 = 396.32/x
  3. Step 3: Cross multiply
    691.16x = 953.68 × 396.32
  4. Step 4: Simplify right side
    691.16x = 377,962.46
  5. Step 5: Solve for x
    x = 377,962.46/691.16
  6. Step 6: Final answer
    x = 546.85

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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.