Home / 1,314.13-1,813.50-724.70

Finding the Fourth Proportional to 1,314.13, 1,813.50 and 724.70

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Solution

The fourth proportional to 1,314.13, 1,813.50 and 724.70 is: 1,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.13 : 1,813.50 = 724.70 : x
  2. Step 2: Convert to fraction form
    1,314.13/1,813.50 = 724.70/x
  3. Step 3: Cross multiply
    1,314.13x = 1,813.50 × 724.70
  4. Step 4: Simplify right side
    1,314.13x = 1,314,243.45
  5. Step 5: Solve for x
    x = 1,314,243.45/1,314.13
  6. Step 6: Final answer
    x = 1,000.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.