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Finding the Fourth Proportional to 689.41, 1,032.36 and 592.53

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Solution

The fourth proportional to 689.41, 1,032.36 and 592.53 is: 887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.41 : 1,032.36 = 592.53 : x
  2. Step 2: Convert to fraction form
    689.41/1,032.36 = 592.53/x
  3. Step 3: Cross multiply
    689.41x = 1,032.36 × 592.53
  4. Step 4: Simplify right side
    689.41x = 611,704.27
  5. Step 5: Solve for x
    x = 611,704.27/689.41
  6. Step 6: Final answer
    x = 887.29

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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.