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Finding the Fourth Proportional to 1,613.52, 2,421.31 and 689.09

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Solution

The fourth proportional to 1,613.52, 2,421.31 and 689.09 is: 1,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.52 : 2,421.31 = 689.09 : x
  2. Step 2: Convert to fraction form
    1,613.52/2,421.31 = 689.09/x
  3. Step 3: Cross multiply
    1,613.52x = 2,421.31 × 689.09
  4. Step 4: Simplify right side
    1,613.52x = 1,668,484.96
  5. Step 5: Solve for x
    x = 1,668,484.96/1,613.52
  6. Step 6: Final answer
    x = 1,034.07

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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.