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Finding the Fourth Proportional to 974.54, 1,461.82 and 316.52

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Solution

The fourth proportional to 974.54, 1,461.82 and 316.52 is: 474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.54 : 1,461.82 = 316.52 : x
  2. Step 2: Convert to fraction form
    974.54/1,461.82 = 316.52/x
  3. Step 3: Cross multiply
    974.54x = 1,461.82 × 316.52
  4. Step 4: Simplify right side
    974.54x = 462,695.27
  5. Step 5: Solve for x
    x = 462,695.27/974.54
  6. Step 6: Final answer
    x = 474.78

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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.