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Finding the Fourth Proportional to 974.80, 1,463.21 and 564.74

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Solution

The fourth proportional to 974.80, 1,463.21 and 564.74 is: 847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.80 : 1,463.21 = 564.74 : x
  2. Step 2: Convert to fraction form
    974.80/1,463.21 = 564.74/x
  3. Step 3: Cross multiply
    974.80x = 1,463.21 × 564.74
  4. Step 4: Simplify right side
    974.80x = 826,333.86
  5. Step 5: Solve for x
    x = 826,333.86/974.80
  6. Step 6: Final answer
    x = 847.69

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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.