Home / 1,472.40-2,209.52-823.60

Finding the Fourth Proportional to 1,472.40, 2,209.52 and 823.60

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Solution

The fourth proportional to 1,472.40, 2,209.52 and 823.60 is: 1,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.40 : 2,209.52 = 823.60 : x
  2. Step 2: Convert to fraction form
    1,472.40/2,209.52 = 823.60/x
  3. Step 3: Cross multiply
    1,472.40x = 2,209.52 × 823.60
  4. Step 4: Simplify right side
    1,472.40x = 1,819,760.67
  5. Step 5: Solve for x
    x = 1,819,760.67/1,472.40
  6. Step 6: Final answer
    x = 1,235.91

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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.