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Finding the Fourth Proportional to 1,615.71, 2,422.98 and 691.33

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Solution

The fourth proportional to 1,615.71, 2,422.98 and 691.33 is: 1,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.71 : 2,422.98 = 691.33 : x
  2. Step 2: Convert to fraction form
    1,615.71/2,422.98 = 691.33/x
  3. Step 3: Cross multiply
    1,615.71x = 2,422.98 × 691.33
  4. Step 4: Simplify right side
    1,615.71x = 1,675,078.76
  5. Step 5: Solve for x
    x = 1,675,078.76/1,615.71
  6. Step 6: Final answer
    x = 1,036.74

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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.