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Finding the Fourth Proportional to 1,038.20, 1,432.71 and 572.45

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Solution

The fourth proportional to 1,038.20, 1,432.71 and 572.45 is: 789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.20 : 1,432.71 = 572.45 : x
  2. Step 2: Convert to fraction form
    1,038.20/1,432.71 = 572.45/x
  3. Step 3: Cross multiply
    1,038.20x = 1,432.71 × 572.45
  4. Step 4: Simplify right side
    1,038.20x = 820,147.68
  5. Step 5: Solve for x
    x = 820,147.68/1,038.20
  6. Step 6: Final answer
    x = 789.97

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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.