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Finding the Fourth Proportional to 969.98, 1,454.42 and 558.97

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Solution

The fourth proportional to 969.98, 1,454.42 and 558.97 is: 838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.98 : 1,454.42 = 558.97 : x
  2. Step 2: Convert to fraction form
    969.98/1,454.42 = 558.97/x
  3. Step 3: Cross multiply
    969.98x = 1,454.42 × 558.97
  4. Step 4: Simplify right side
    969.98x = 812,974.91
  5. Step 5: Solve for x
    x = 812,974.91/969.98
  6. Step 6: Final answer
    x = 838.14

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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.