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Finding the Fourth Proportional to 753.77, 1,040.61 and 517.85

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Solution

The fourth proportional to 753.77, 1,040.61 and 517.85 is: 714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.77 : 1,040.61 = 517.85 : x
  2. Step 2: Convert to fraction form
    753.77/1,040.61 = 517.85/x
  3. Step 3: Cross multiply
    753.77x = 1,040.61 × 517.85
  4. Step 4: Simplify right side
    753.77x = 538,879.89
  5. Step 5: Solve for x
    x = 538,879.89/753.77
  6. Step 6: Final answer
    x = 714.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.