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Finding the Fourth Proportional to 974.19, 1,461.51 and 280.87

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Solution

The fourth proportional to 974.19, 1,461.51 and 280.87 is: 421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.19 : 1,461.51 = 280.87 : x
  2. Step 2: Convert to fraction form
    974.19/1,461.51 = 280.87/x
  3. Step 3: Cross multiply
    974.19x = 1,461.51 × 280.87
  4. Step 4: Simplify right side
    974.19x = 410,490.66
  5. Step 5: Solve for x
    x = 410,490.66/974.19
  6. Step 6: Final answer
    x = 421.37

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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.