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Finding the Fourth Proportional to 761.90, 1,053.48 and 749.54

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Solution

The fourth proportional to 761.90, 1,053.48 and 749.54 is: 1,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.90 : 1,053.48 = 749.54 : x
  2. Step 2: Convert to fraction form
    761.90/1,053.48 = 749.54/x
  3. Step 3: Cross multiply
    761.90x = 1,053.48 × 749.54
  4. Step 4: Simplify right side
    761.90x = 789,620.13
  5. Step 5: Solve for x
    x = 789,620.13/761.90
  6. Step 6: Final answer
    x = 1,036.39

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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.