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Finding the Fourth Proportional to 487.61, 728.06 and 396.48

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Solution

The fourth proportional to 487.61, 728.06 and 396.48 is: 591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.61 : 728.06 = 396.48 : x
  2. Step 2: Convert to fraction form
    487.61/728.06 = 396.48/x
  3. Step 3: Cross multiply
    487.61x = 728.06 × 396.48
  4. Step 4: Simplify right side
    487.61x = 288,661.23
  5. Step 5: Solve for x
    x = 288,661.23/487.61
  6. Step 6: Final answer
    x = 591.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.