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Finding the Fourth Proportional to 432.73, 647.47 and 387.78

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Solution

The fourth proportional to 432.73, 647.47 and 387.78 is: 580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.73 : 647.47 = 387.78 : x
  2. Step 2: Convert to fraction form
    432.73/647.47 = 387.78/x
  3. Step 3: Cross multiply
    432.73x = 647.47 × 387.78
  4. Step 4: Simplify right side
    432.73x = 251,075.92
  5. Step 5: Solve for x
    x = 251,075.92/432.73
  6. Step 6: Final answer
    x = 580.21

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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.