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Finding the Fourth Proportional to 969.40, 1,454.12 and 539.29

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Solution

The fourth proportional to 969.40, 1,454.12 and 539.29 is: 808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.40 : 1,454.12 = 539.29 : x
  2. Step 2: Convert to fraction form
    969.40/1,454.12 = 539.29/x
  3. Step 3: Cross multiply
    969.40x = 1,454.12 × 539.29
  4. Step 4: Simplify right side
    969.40x = 784,193.52
  5. Step 5: Solve for x
    x = 784,193.52/969.40
  6. Step 6: Final answer
    x = 808.95

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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.