Home / 1,515.12-2,271.71-724.16

Finding the Fourth Proportional to 1,515.12, 2,271.71 and 724.16

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Solution

The fourth proportional to 1,515.12, 2,271.71 and 724.16 is: 1,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.12 : 2,271.71 = 724.16 : x
  2. Step 2: Convert to fraction form
    1,515.12/2,271.71 = 724.16/x
  3. Step 3: Cross multiply
    1,515.12x = 2,271.71 × 724.16
  4. Step 4: Simplify right side
    1,515.12x = 1,645,071.97
  5. Step 5: Solve for x
    x = 1,645,071.97/1,515.12
  6. Step 6: Final answer
    x = 1,085.77

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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.