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Finding the Fourth Proportional to 458.80, 685.12 and 398.08

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Solution

The fourth proportional to 458.80, 685.12 and 398.08 is: 594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.80 : 685.12 = 398.08 : x
  2. Step 2: Convert to fraction form
    458.80/685.12 = 398.08/x
  3. Step 3: Cross multiply
    458.80x = 685.12 × 398.08
  4. Step 4: Simplify right side
    458.80x = 272,732.57
  5. Step 5: Solve for x
    x = 272,732.57/458.80
  6. Step 6: Final answer
    x = 594.45

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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.