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Finding the Fourth Proportional to 463.08, 691.56 and 412.05

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Solution

The fourth proportional to 463.08, 691.56 and 412.05 is: 615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.08 : 691.56 = 412.05 : x
  2. Step 2: Convert to fraction form
    463.08/691.56 = 412.05/x
  3. Step 3: Cross multiply
    463.08x = 691.56 × 412.05
  4. Step 4: Simplify right side
    463.08x = 284,957.16
  5. Step 5: Solve for x
    x = 284,957.16/463.08
  6. Step 6: Final answer
    x = 615.35

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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.