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Finding the Fourth Proportional to 1,613.96, 2,421.97 and 689.53

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Solution

The fourth proportional to 1,613.96, 2,421.97 and 689.53 is: 1,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.96 : 2,421.97 = 689.53 : x
  2. Step 2: Convert to fraction form
    1,613.96/2,421.97 = 689.53/x
  3. Step 3: Cross multiply
    1,613.96x = 2,421.97 × 689.53
  4. Step 4: Simplify right side
    1,613.96x = 1,670,013.08
  5. Step 5: Solve for x
    x = 1,670,013.08/1,613.96
  6. Step 6: Final answer
    x = 1,034.73

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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.