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Finding the Fourth Proportional to 460.92, 688.01 and 427.12

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Solution

The fourth proportional to 460.92, 688.01 and 427.12 is: 637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.92 : 688.01 = 427.12 : x
  2. Step 2: Convert to fraction form
    460.92/688.01 = 427.12/x
  3. Step 3: Cross multiply
    460.92x = 688.01 × 427.12
  4. Step 4: Simplify right side
    460.92x = 293,862.83
  5. Step 5: Solve for x
    x = 293,862.83/460.92
  6. Step 6: Final answer
    x = 637.56

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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.