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Finding the Fourth Proportional to 463.40, 691.75 and 429.62

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Solution

The fourth proportional to 463.40, 691.75 and 429.62 is: 641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.40 : 691.75 = 429.62 : x
  2. Step 2: Convert to fraction form
    463.40/691.75 = 429.62/x
  3. Step 3: Cross multiply
    463.40x = 691.75 × 429.62
  4. Step 4: Simplify right side
    463.40x = 297,189.64
  5. Step 5: Solve for x
    x = 297,189.64/463.40
  6. Step 6: Final answer
    x = 641.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.