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Finding the Fourth Proportional to 709.67, 980.43 and 552.94

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Solution

The fourth proportional to 709.67, 980.43 and 552.94 is: 763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.67 : 980.43 = 552.94 : x
  2. Step 2: Convert to fraction form
    709.67/980.43 = 552.94/x
  3. Step 3: Cross multiply
    709.67x = 980.43 × 552.94
  4. Step 4: Simplify right side
    709.67x = 542,118.96
  5. Step 5: Solve for x
    x = 542,118.96/709.67
  6. Step 6: Final answer
    x = 763.90

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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.