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Finding the Fourth Proportional to 1,711.26, 2,565.43 and 657.83

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Solution

The fourth proportional to 1,711.26, 2,565.43 and 657.83 is: 986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.26 : 2,565.43 = 657.83 : x
  2. Step 2: Convert to fraction form
    1,711.26/2,565.43 = 657.83/x
  3. Step 3: Cross multiply
    1,711.26x = 2,565.43 × 657.83
  4. Step 4: Simplify right side
    1,711.26x = 1,687,625.66
  5. Step 5: Solve for x
    x = 1,687,625.66/1,711.26
  6. Step 6: Final answer
    x = 986.19

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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.