Home / 1,613.30-2,419.90-459.05

Finding the Fourth Proportional to 1,613.30, 2,419.90 and 459.05

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Solution

The fourth proportional to 1,613.30, 2,419.90 and 459.05 is: 688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.30 : 2,419.90 = 459.05 : x
  2. Step 2: Convert to fraction form
    1,613.30/2,419.90 = 459.05/x
  3. Step 3: Cross multiply
    1,613.30x = 2,419.90 × 459.05
  4. Step 4: Simplify right side
    1,613.30x = 1,110,856.75
  5. Step 5: Solve for x
    x = 1,110,856.75/1,613.30
  6. Step 6: Final answer
    x = 688.56

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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.