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Finding the Fourth Proportional to 574.09, 861.45 and 355.02

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Solution

The fourth proportional to 574.09, 861.45 and 355.02 is: 532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.09 : 861.45 = 355.02 : x
  2. Step 2: Convert to fraction form
    574.09/861.45 = 355.02/x
  3. Step 3: Cross multiply
    574.09x = 861.45 × 355.02
  4. Step 4: Simplify right side
    574.09x = 305,831.98
  5. Step 5: Solve for x
    x = 305,831.98/574.09
  6. Step 6: Final answer
    x = 532.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.