Home / 1,724.70-2,587.08-492.14

Finding the Fourth Proportional to 1,724.70, 2,587.08 and 492.14

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Solution

The fourth proportional to 1,724.70, 2,587.08 and 492.14 is: 738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.70 : 2,587.08 = 492.14 : x
  2. Step 2: Convert to fraction form
    1,724.70/2,587.08 = 492.14/x
  3. Step 3: Cross multiply
    1,724.70x = 2,587.08 × 492.14
  4. Step 4: Simplify right side
    1,724.70x = 1,273,212.02
  5. Step 5: Solve for x
    x = 1,273,212.02/1,724.70
  6. Step 6: Final answer
    x = 738.22

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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.