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Finding the Fourth Proportional to 640.67, 959.92 and 457.13

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Solution

The fourth proportional to 640.67, 959.92 and 457.13 is: 684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.67 : 959.92 = 457.13 : x
  2. Step 2: Convert to fraction form
    640.67/959.92 = 457.13/x
  3. Step 3: Cross multiply
    640.67x = 959.92 × 457.13
  4. Step 4: Simplify right side
    640.67x = 438,809.49
  5. Step 5: Solve for x
    x = 438,809.49/640.67
  6. Step 6: Final answer
    x = 684.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.