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Finding the Fourth Proportional to 974.15, 1,461.21 and 584.25

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Solution

The fourth proportional to 974.15, 1,461.21 and 584.25 is: 876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.15 : 1,461.21 = 584.25 : x
  2. Step 2: Convert to fraction form
    974.15/1,461.21 = 584.25/x
  3. Step 3: Cross multiply
    974.15x = 1,461.21 × 584.25
  4. Step 4: Simplify right side
    974.15x = 853,711.94
  5. Step 5: Solve for x
    x = 853,711.94/974.15
  6. Step 6: Final answer
    x = 876.37

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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.