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Finding the Fourth Proportional to 488.20, 728.41 and 424.20

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Solution

The fourth proportional to 488.20, 728.41 and 424.20 is: 632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.20 : 728.41 = 424.20 : x
  2. Step 2: Convert to fraction form
    488.20/728.41 = 424.20/x
  3. Step 3: Cross multiply
    488.20x = 728.41 × 424.20
  4. Step 4: Simplify right side
    488.20x = 308,991.52
  5. Step 5: Solve for x
    x = 308,991.52/488.20
  6. Step 6: Final answer
    x = 632.92

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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.