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Finding the Fourth Proportional to 974.45, 1,461.87 and 316.49

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Solution

The fourth proportional to 974.45, 1,461.87 and 316.49 is: 474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.45 : 1,461.87 = 316.49 : x
  2. Step 2: Convert to fraction form
    974.45/1,461.87 = 316.49/x
  3. Step 3: Cross multiply
    974.45x = 1,461.87 × 316.49
  4. Step 4: Simplify right side
    974.45x = 462,659.93
  5. Step 5: Solve for x
    x = 462,659.93/974.45
  6. Step 6: Final answer
    x = 474.79

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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.