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Finding the Fourth Proportional to 691.20, 952.88 and 429.04

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Solution

The fourth proportional to 691.20, 952.88 and 429.04 is: 591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.20 : 952.88 = 429.04 : x
  2. Step 2: Convert to fraction form
    691.20/952.88 = 429.04/x
  3. Step 3: Cross multiply
    691.20x = 952.88 × 429.04
  4. Step 4: Simplify right side
    691.20x = 408,823.64
  5. Step 5: Solve for x
    x = 408,823.64/691.20
  6. Step 6: Final answer
    x = 591.47

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1.5x scale

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.