Home / 1,613.20-2,419.08-458.68

Finding the Fourth Proportional to 1,613.20, 2,419.08 and 458.68

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Solution

The fourth proportional to 1,613.20, 2,419.08 and 458.68 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.20 : 2,419.08 = 458.68 : x
  2. Step 2: Convert to fraction form
    1,613.20/2,419.08 = 458.68/x
  3. Step 3: Cross multiply
    1,613.20x = 2,419.08 × 458.68
  4. Step 4: Simplify right side
    1,613.20x = 1,109,583.61
  5. Step 5: Solve for x
    x = 1,109,583.61/1,613.20
  6. Step 6: Final answer
    x = 687.82

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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.