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Finding the Fourth Proportional to 1,709.52, 2,565.42 and 735.70

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Solution

The fourth proportional to 1,709.52, 2,565.42 and 735.70 is: 1,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.52 : 2,565.42 = 735.70 : x
  2. Step 2: Convert to fraction form
    1,709.52/2,565.42 = 735.70/x
  3. Step 3: Cross multiply
    1,709.52x = 2,565.42 × 735.70
  4. Step 4: Simplify right side
    1,709.52x = 1,887,379.49
  5. Step 5: Solve for x
    x = 1,887,379.49/1,709.52
  6. Step 6: Final answer
    x = 1,104.04

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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.