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Finding the Fourth Proportional to 1,747.69, 2,620.86 and 707.43

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Solution

The fourth proportional to 1,747.69, 2,620.86 and 707.43 is: 1,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.69 : 2,620.86 = 707.43 : x
  2. Step 2: Convert to fraction form
    1,747.69/2,620.86 = 707.43/x
  3. Step 3: Cross multiply
    1,747.69x = 2,620.86 × 707.43
  4. Step 4: Simplify right side
    1,747.69x = 1,854,074.99
  5. Step 5: Solve for x
    x = 1,854,074.99/1,747.69
  6. Step 6: Final answer
    x = 1,060.87

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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.