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Finding the Fourth Proportional to 689.78, 1,032.91 and 457.97

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Solution

The fourth proportional to 689.78, 1,032.91 and 457.97 is: 685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.78 : 1,032.91 = 457.97 : x
  2. Step 2: Convert to fraction form
    689.78/1,032.91 = 457.97/x
  3. Step 3: Cross multiply
    689.78x = 1,032.91 × 457.97
  4. Step 4: Simplify right side
    689.78x = 473,035.48
  5. Step 5: Solve for x
    x = 473,035.48/689.78
  6. Step 6: Final answer
    x = 685.77

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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.