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Finding the Fourth Proportional to 761.53, 1,135.26 and 749.68

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Solution

The fourth proportional to 761.53, 1,135.26 and 749.68 is: 1,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.53 : 1,135.26 = 749.68 : x
  2. Step 2: Convert to fraction form
    761.53/1,135.26 = 749.68/x
  3. Step 3: Cross multiply
    761.53x = 1,135.26 × 749.68
  4. Step 4: Simplify right side
    761.53x = 851,077.97
  5. Step 5: Solve for x
    x = 851,077.97/761.53
  6. Step 6: Final answer
    x = 1,117.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.