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Finding the Fourth Proportional to 552.90, 761.97 and 537.09

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Solution

The fourth proportional to 552.90, 761.97 and 537.09 is: 740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.90 : 761.97 = 537.09 : x
  2. Step 2: Convert to fraction form
    552.90/761.97 = 537.09/x
  3. Step 3: Cross multiply
    552.90x = 761.97 × 537.09
  4. Step 4: Simplify right side
    552.90x = 409,246.47
  5. Step 5: Solve for x
    x = 409,246.47/552.90
  6. Step 6: Final answer
    x = 740.18

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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.