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Finding the Fourth Proportional to 691.30, 953.94 and 429.27

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Solution

The fourth proportional to 691.30, 953.94 and 429.27 is: 592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.30 : 953.94 = 429.27 : x
  2. Step 2: Convert to fraction form
    691.30/953.94 = 429.27/x
  3. Step 3: Cross multiply
    691.30x = 953.94 × 429.27
  4. Step 4: Simplify right side
    691.30x = 409,497.82
  5. Step 5: Solve for x
    x = 409,497.82/691.30
  6. Step 6: Final answer
    x = 592.36

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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.