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Finding the Fourth Proportional to 1,471.55, 2,207.79 and 691.52

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Solution

The fourth proportional to 1,471.55, 2,207.79 and 691.52 is: 1,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.55 : 2,207.79 = 691.52 : x
  2. Step 2: Convert to fraction form
    1,471.55/2,207.79 = 691.52/x
  3. Step 3: Cross multiply
    1,471.55x = 2,207.79 × 691.52
  4. Step 4: Simplify right side
    1,471.55x = 1,526,719.90
  5. Step 5: Solve for x
    x = 1,526,719.90/1,471.55
  6. Step 6: Final answer
    x = 1,037.49

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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.