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Finding the Fourth Proportional to 972.68, 1,458.87 and 809.21

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Solution

The fourth proportional to 972.68, 1,458.87 and 809.21 is: 1,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.68 : 1,458.87 = 809.21 : x
  2. Step 2: Convert to fraction form
    972.68/1,458.87 = 809.21/x
  3. Step 3: Cross multiply
    972.68x = 1,458.87 × 809.21
  4. Step 4: Simplify right side
    972.68x = 1,180,524.90
  5. Step 5: Solve for x
    x = 1,180,524.90/972.68
  6. Step 6: Final answer
    x = 1,213.69

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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.