Home / 1,546.10-2,319.28-713.15

Finding the Fourth Proportional to 1,546.10, 2,319.28 and 713.15

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Solution

The fourth proportional to 1,546.10, 2,319.28 and 713.15 is: 1,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.10 : 2,319.28 = 713.15 : x
  2. Step 2: Convert to fraction form
    1,546.10/2,319.28 = 713.15/x
  3. Step 3: Cross multiply
    1,546.10x = 2,319.28 × 713.15
  4. Step 4: Simplify right side
    1,546.10x = 1,653,981.15
  5. Step 5: Solve for x
    x = 1,653,981.15/1,546.10
  6. Step 6: Final answer
    x = 1,069.78

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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.