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Finding the Fourth Proportional to 972.09, 1,458.13 and 809.43

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Solution

The fourth proportional to 972.09, 1,458.13 and 809.43 is: 1,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.09 : 1,458.13 = 809.43 : x
  2. Step 2: Convert to fraction form
    972.09/1,458.13 = 809.43/x
  3. Step 3: Cross multiply
    972.09x = 1,458.13 × 809.43
  4. Step 4: Simplify right side
    972.09x = 1,180,254.17
  5. Step 5: Solve for x
    x = 1,180,254.17/972.09
  6. Step 6: Final answer
    x = 1,214.14

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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.