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Finding the Fourth Proportional to 403.85, 601.28 and 398.10

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Solution

The fourth proportional to 403.85, 601.28 and 398.10 is: 592.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.85 : 601.28 = 398.10 : x
  2. Step 2: Convert to fraction form
    403.85/601.28 = 398.10/x
  3. Step 3: Cross multiply
    403.85x = 601.28 × 398.10
  4. Step 4: Simplify right side
    403.85x = 239,372.02
  5. Step 5: Solve for x
    x = 239,372.02/403.85
  6. Step 6: Final answer
    x = 592.72

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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.