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Finding the Fourth Proportional to 974.06, 1,461.10 and 280.70

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Solution

The fourth proportional to 974.06, 1,461.10 and 280.70 is: 421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.06 : 1,461.10 = 280.70 : x
  2. Step 2: Convert to fraction form
    974.06/1,461.10 = 280.70/x
  3. Step 3: Cross multiply
    974.06x = 1,461.10 × 280.70
  4. Step 4: Simplify right side
    974.06x = 410,130.77
  5. Step 5: Solve for x
    x = 410,130.77/974.06
  6. Step 6: Final answer
    x = 421.05

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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.