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Finding the Fourth Proportional to 1,314.15, 1,813.54 and 724.70

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Solution

The fourth proportional to 1,314.15, 1,813.54 and 724.70 is: 1,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.15 : 1,813.54 = 724.70 : x
  2. Step 2: Convert to fraction form
    1,314.15/1,813.54 = 724.70/x
  3. Step 3: Cross multiply
    1,314.15x = 1,813.54 × 724.70
  4. Step 4: Simplify right side
    1,314.15x = 1,314,275.16
  5. Step 5: Solve for x
    x = 1,314,275.16/1,314.15
  6. Step 6: Final answer
    x = 1,000.10

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1.5x scale

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.