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Finding the Fourth Proportional to 699.76, 965.70 and 542.56

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Solution

The fourth proportional to 699.76, 965.70 and 542.56 is: 748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.76 : 965.70 = 542.56 : x
  2. Step 2: Convert to fraction form
    699.76/965.70 = 542.56/x
  3. Step 3: Cross multiply
    699.76x = 965.70 × 542.56
  4. Step 4: Simplify right side
    699.76x = 523,950.19
  5. Step 5: Solve for x
    x = 523,950.19/699.76
  6. Step 6: Final answer
    x = 748.76

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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.