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Finding the Fourth Proportional to 526.02, 724.80 and 432.46

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Solution

The fourth proportional to 526.02, 724.80 and 432.46 is: 595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.02 : 724.80 = 432.46 : x
  2. Step 2: Convert to fraction form
    526.02/724.80 = 432.46/x
  3. Step 3: Cross multiply
    526.02x = 724.80 × 432.46
  4. Step 4: Simplify right side
    526.02x = 313,447.01
  5. Step 5: Solve for x
    x = 313,447.01/526.02
  6. Step 6: Final answer
    x = 595.88

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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.