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Finding the Fourth Proportional to 403.92, 602.54 and 398.64

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Solution

The fourth proportional to 403.92, 602.54 and 398.64 is: 594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.92 : 602.54 = 398.64 : x
  2. Step 2: Convert to fraction form
    403.92/602.54 = 398.64/x
  3. Step 3: Cross multiply
    403.92x = 602.54 × 398.64
  4. Step 4: Simplify right side
    403.92x = 240,194.55
  5. Step 5: Solve for x
    x = 240,194.55/403.92
  6. Step 6: Final answer
    x = 594.66

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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.