Home / 1,546.16-2,319.20-609.20

Finding the Fourth Proportional to 1,546.16, 2,319.20 and 609.20

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Solution

The fourth proportional to 1,546.16, 2,319.20 and 609.20 is: 913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.16 : 2,319.20 = 609.20 : x
  2. Step 2: Convert to fraction form
    1,546.16/2,319.20 = 609.20/x
  3. Step 3: Cross multiply
    1,546.16x = 2,319.20 × 609.20
  4. Step 4: Simplify right side
    1,546.16x = 1,412,856.64
  5. Step 5: Solve for x
    x = 1,412,856.64/1,546.16
  6. Step 6: Final answer
    x = 913.78

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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.