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Finding the Fourth Proportional to 432.56, 594.58 and 387.92

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Solution

The fourth proportional to 432.56, 594.58 and 387.92 is: 533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 594.58 = 387.92 : x
  2. Step 2: Convert to fraction form
    432.56/594.58 = 387.92/x
  3. Step 3: Cross multiply
    432.56x = 594.58 × 387.92
  4. Step 4: Simplify right side
    432.56x = 230,649.47
  5. Step 5: Solve for x
    x = 230,649.47/432.56
  6. Step 6: Final answer
    x = 533.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.