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Finding the Fourth Proportional to 424.28, 581.76 and 382.66

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Solution

The fourth proportional to 424.28, 581.76 and 382.66 is: 524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.28 : 581.76 = 382.66 : x
  2. Step 2: Convert to fraction form
    424.28/581.76 = 382.66/x
  3. Step 3: Cross multiply
    424.28x = 581.76 × 382.66
  4. Step 4: Simplify right side
    424.28x = 222,614.83
  5. Step 5: Solve for x
    x = 222,614.83/424.28
  6. Step 6: Final answer
    x = 524.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.