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Finding the Fourth Proportional to 552.29, 761.87 and 328.12

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Solution

The fourth proportional to 552.29, 761.87 and 328.12 is: 452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.29 : 761.87 = 328.12 : x
  2. Step 2: Convert to fraction form
    552.29/761.87 = 328.12/x
  3. Step 3: Cross multiply
    552.29x = 761.87 × 328.12
  4. Step 4: Simplify right side
    552.29x = 249,983.70
  5. Step 5: Solve for x
    x = 249,983.70/552.29
  6. Step 6: Final answer
    x = 452.64

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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.