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Finding the Fourth Proportional to 1,613.98, 2,421.43 and 792.49

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Solution

The fourth proportional to 1,613.98, 2,421.43 and 792.49 is: 1,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.98 : 2,421.43 = 792.49 : x
  2. Step 2: Convert to fraction form
    1,613.98/2,421.43 = 792.49/x
  3. Step 3: Cross multiply
    1,613.98x = 2,421.43 × 792.49
  4. Step 4: Simplify right side
    1,613.98x = 1,918,959.06
  5. Step 5: Solve for x
    x = 1,918,959.06/1,613.98
  6. Step 6: Final answer
    x = 1,188.96

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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.