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Finding the Fourth Proportional to 463.62, 696.93 and 429.78

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Solution

The fourth proportional to 463.62, 696.93 and 429.78 is: 646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.62 : 696.93 = 429.78 : x
  2. Step 2: Convert to fraction form
    463.62/696.93 = 429.78/x
  3. Step 3: Cross multiply
    463.62x = 696.93 × 429.78
  4. Step 4: Simplify right side
    463.62x = 299,526.58
  5. Step 5: Solve for x
    x = 299,526.58/463.62
  6. Step 6: Final answer
    x = 646.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.