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Finding the Fourth Proportional to 400.75, 597.19 and 387.70

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Solution

The fourth proportional to 400.75, 597.19 and 387.70 is: 577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.75 : 597.19 = 387.70 : x
  2. Step 2: Convert to fraction form
    400.75/597.19 = 387.70/x
  3. Step 3: Cross multiply
    400.75x = 597.19 × 387.70
  4. Step 4: Simplify right side
    400.75x = 231,527.58
  5. Step 5: Solve for x
    x = 231,527.58/400.75
  6. Step 6: Final answer
    x = 577.74

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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.