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Finding the Fourth Proportional to 552.39, 829.80 and 472.20

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Solution

The fourth proportional to 552.39, 829.80 and 472.20 is: 709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.39 : 829.80 = 472.20 : x
  2. Step 2: Convert to fraction form
    552.39/829.80 = 472.20/x
  3. Step 3: Cross multiply
    552.39x = 829.80 × 472.20
  4. Step 4: Simplify right side
    552.39x = 391,831.56
  5. Step 5: Solve for x
    x = 391,831.56/552.39
  6. Step 6: Final answer
    x = 709.34

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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.