Home / 1,456.13-2,182.53-724.07

Finding the Fourth Proportional to 1,456.13, 2,182.53 and 724.07

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Solution

The fourth proportional to 1,456.13, 2,182.53 and 724.07 is: 1,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.13 : 2,182.53 = 724.07 : x
  2. Step 2: Convert to fraction form
    1,456.13/2,182.53 = 724.07/x
  3. Step 3: Cross multiply
    1,456.13x = 2,182.53 × 724.07
  4. Step 4: Simplify right side
    1,456.13x = 1,580,304.50
  5. Step 5: Solve for x
    x = 1,580,304.50/1,456.13
  6. Step 6: Final answer
    x = 1,085.28

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1.5x scale

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.