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Finding the Fourth Proportional to 809.74, 1,117.82 and 632.96

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Solution

The fourth proportional to 809.74, 1,117.82 and 632.96 is: 873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.74 : 1,117.82 = 632.96 : x
  2. Step 2: Convert to fraction form
    809.74/1,117.82 = 632.96/x
  3. Step 3: Cross multiply
    809.74x = 1,117.82 × 632.96
  4. Step 4: Simplify right side
    809.74x = 707,526.59
  5. Step 5: Solve for x
    x = 707,526.59/809.74
  6. Step 6: Final answer
    x = 873.78

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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.