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Finding the Fourth Proportional to 659.71, 908.69 and 460.18

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Solution

The fourth proportional to 659.71, 908.69 and 460.18 is: 633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.71 : 908.69 = 460.18 : x
  2. Step 2: Convert to fraction form
    659.71/908.69 = 460.18/x
  3. Step 3: Cross multiply
    659.71x = 908.69 × 460.18
  4. Step 4: Simplify right side
    659.71x = 418,160.96
  5. Step 5: Solve for x
    x = 418,160.96/659.71
  6. Step 6: Final answer
    x = 633.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.