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Finding the Fourth Proportional to 552.47, 761.13 and 355.64

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Solution

The fourth proportional to 552.47, 761.13 and 355.64 is: 489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.47 : 761.13 = 355.64 : x
  2. Step 2: Convert to fraction form
    552.47/761.13 = 355.64/x
  3. Step 3: Cross multiply
    552.47x = 761.13 × 355.64
  4. Step 4: Simplify right side
    552.47x = 270,684.47
  5. Step 5: Solve for x
    x = 270,684.47/552.47
  6. Step 6: Final answer
    x = 489.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.