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Finding the Fourth Proportional to 487.32, 729.56 and 366.08

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Solution

The fourth proportional to 487.32, 729.56 and 366.08 is: 548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.32 : 729.56 = 366.08 : x
  2. Step 2: Convert to fraction form
    487.32/729.56 = 366.08/x
  3. Step 3: Cross multiply
    487.32x = 729.56 × 366.08
  4. Step 4: Simplify right side
    487.32x = 267,077.32
  5. Step 5: Solve for x
    x = 267,077.32/487.32
  6. Step 6: Final answer
    x = 548.05

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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.