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Finding the Fourth Proportional to 400.60, 598.82 and 390.88

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Solution

The fourth proportional to 400.60, 598.82 and 390.88 is: 584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.60 : 598.82 = 390.88 : x
  2. Step 2: Convert to fraction form
    400.60/598.82 = 390.88/x
  3. Step 3: Cross multiply
    400.60x = 598.82 × 390.88
  4. Step 4: Simplify right side
    400.60x = 234,066.76
  5. Step 5: Solve for x
    x = 234,066.76/400.60
  6. Step 6: Final answer
    x = 584.29

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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.