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Finding the Fourth Proportional to 1,048.62, 1,572.87 and 432.17

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Solution

The fourth proportional to 1,048.62, 1,572.87 and 432.17 is: 648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.62 : 1,572.87 = 432.17 : x
  2. Step 2: Convert to fraction form
    1,048.62/1,572.87 = 432.17/x
  3. Step 3: Cross multiply
    1,048.62x = 1,572.87 × 432.17
  4. Step 4: Simplify right side
    1,048.62x = 679,747.23
  5. Step 5: Solve for x
    x = 679,747.23/1,048.62
  6. Step 6: Final answer
    x = 648.23

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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.