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Finding the Fourth Proportional to 1,472.57, 2,205.50 and 703.61

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Solution

The fourth proportional to 1,472.57, 2,205.50 and 703.61 is: 1,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.57 : 2,205.50 = 703.61 : x
  2. Step 2: Convert to fraction form
    1,472.57/2,205.50 = 703.61/x
  3. Step 3: Cross multiply
    1,472.57x = 2,205.50 × 703.61
  4. Step 4: Simplify right side
    1,472.57x = 1,551,815.61
  5. Step 5: Solve for x
    x = 1,551,815.61/1,472.57
  6. Step 6: Final answer
    x = 1,053.81

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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.