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Finding the Fourth Proportional to 1,314.16, 1,813.51 and 724.69

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Solution

The fourth proportional to 1,314.16, 1,813.51 and 724.69 is: 1,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.16 : 1,813.51 = 724.69 : x
  2. Step 2: Convert to fraction form
    1,314.16/1,813.51 = 724.69/x
  3. Step 3: Cross multiply
    1,314.16x = 1,813.51 × 724.69
  4. Step 4: Simplify right side
    1,314.16x = 1,314,232.56
  5. Step 5: Solve for x
    x = 1,314,232.56/1,314.16
  6. Step 6: Final answer
    x = 1,000.06

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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.