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Finding the Fourth Proportional to 1,613.24, 2,421 and 735.85

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Solution

The fourth proportional to 1,613.24, 2,421 and 735.85 is: 1,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.24 : 2,421 = 735.85 : x
  2. Step 2: Convert to fraction form
    1,613.24/2,421 = 735.85/x
  3. Step 3: Cross multiply
    1,613.24x = 2,421 × 735.85
  4. Step 4: Simplify right side
    1,613.24x = 1,781,486.80
  5. Step 5: Solve for x
    x = 1,781,486.80/1,613.24
  6. Step 6: Final answer
    x = 1,104.29

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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.