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Finding the Fourth Proportional to 461.39, 688.64 and 386.87

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Solution

The fourth proportional to 461.39, 688.64 and 386.87 is: 577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.39 : 688.64 = 386.87 : x
  2. Step 2: Convert to fraction form
    461.39/688.64 = 386.87/x
  3. Step 3: Cross multiply
    461.39x = 688.64 × 386.87
  4. Step 4: Simplify right side
    461.39x = 266,414.16
  5. Step 5: Solve for x
    x = 266,414.16/461.39
  6. Step 6: Final answer
    x = 577.42

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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.