Home / 1,340.72-2,014.60-724.84

Finding the Fourth Proportional to 1,340.72, 2,014.60 and 724.84

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Solution

The fourth proportional to 1,340.72, 2,014.60 and 724.84 is: 1,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.72 : 2,014.60 = 724.84 : x
  2. Step 2: Convert to fraction form
    1,340.72/2,014.60 = 724.84/x
  3. Step 3: Cross multiply
    1,340.72x = 2,014.60 × 724.84
  4. Step 4: Simplify right side
    1,340.72x = 1,460,262.66
  5. Step 5: Solve for x
    x = 1,460,262.66/1,340.72
  6. Step 6: Final answer
    x = 1,089.16

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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.