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Finding the Fourth Proportional to 753.81, 1,129.42 and 677.72

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Solution

The fourth proportional to 753.81, 1,129.42 and 677.72 is: 1,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.81 : 1,129.42 = 677.72 : x
  2. Step 2: Convert to fraction form
    753.81/1,129.42 = 677.72/x
  3. Step 3: Cross multiply
    753.81x = 1,129.42 × 677.72
  4. Step 4: Simplify right side
    753.81x = 765,430.52
  5. Step 5: Solve for x
    x = 765,430.52/753.81
  6. Step 6: Final answer
    x = 1,015.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.