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Finding the Fourth Proportional to 463.76, 690.64 and 461.12

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Solution

The fourth proportional to 463.76, 690.64 and 461.12 is: 686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.76 : 690.64 = 461.12 : x
  2. Step 2: Convert to fraction form
    463.76/690.64 = 461.12/x
  3. Step 3: Cross multiply
    463.76x = 690.64 × 461.12
  4. Step 4: Simplify right side
    463.76x = 318,467.92
  5. Step 5: Solve for x
    x = 318,467.92/463.76
  6. Step 6: Final answer
    x = 686.71

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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.