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Finding the Fourth Proportional to 1,472.76, 2,209.50 and 823.92

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Solution

The fourth proportional to 1,472.76, 2,209.50 and 823.92 is: 1,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.76 : 2,209.50 = 823.92 : x
  2. Step 2: Convert to fraction form
    1,472.76/2,209.50 = 823.92/x
  3. Step 3: Cross multiply
    1,472.76x = 2,209.50 × 823.92
  4. Step 4: Simplify right side
    1,472.76x = 1,820,451.24
  5. Step 5: Solve for x
    x = 1,820,451.24/1,472.76
  6. Step 6: Final answer
    x = 1,236.08

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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.