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Finding the Fourth Proportional to 753.83, 1,041.32 and 717.38

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Solution

The fourth proportional to 753.83, 1,041.32 and 717.38 is: 990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.83 : 1,041.32 = 717.38 : x
  2. Step 2: Convert to fraction form
    753.83/1,041.32 = 717.38/x
  3. Step 3: Cross multiply
    753.83x = 1,041.32 × 717.38
  4. Step 4: Simplify right side
    753.83x = 747,022.14
  5. Step 5: Solve for x
    x = 747,022.14/753.83
  6. Step 6: Final answer
    x = 990.97

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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.