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Finding the Fourth Proportional to 753.86, 1,131.96 and 663.32

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Solution

The fourth proportional to 753.86, 1,131.96 and 663.32 is: 996.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.86 : 1,131.96 = 663.32 : x
  2. Step 2: Convert to fraction form
    753.86/1,131.96 = 663.32/x
  3. Step 3: Cross multiply
    753.86x = 1,131.96 × 663.32
  4. Step 4: Simplify right side
    753.86x = 750,851.71
  5. Step 5: Solve for x
    x = 750,851.71/753.86
  6. Step 6: Final answer
    x = 996.01

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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.