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Finding the Fourth Proportional to 1,613.10, 2,420.13 and 747.90

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Solution

The fourth proportional to 1,613.10, 2,420.13 and 747.90 is: 1,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.10 : 2,420.13 = 747.90 : x
  2. Step 2: Convert to fraction form
    1,613.10/2,420.13 = 747.90/x
  3. Step 3: Cross multiply
    1,613.10x = 2,420.13 × 747.90
  4. Step 4: Simplify right side
    1,613.10x = 1,810,015.23
  5. Step 5: Solve for x
    x = 1,810,015.23/1,613.10
  6. Step 6: Final answer
    x = 1,122.07

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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.