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Finding the Fourth Proportional to 974.72, 1,461.80 and 480.83

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Solution

The fourth proportional to 974.72, 1,461.80 and 480.83 is: 721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.72 : 1,461.80 = 480.83 : x
  2. Step 2: Convert to fraction form
    974.72/1,461.80 = 480.83/x
  3. Step 3: Cross multiply
    974.72x = 1,461.80 × 480.83
  4. Step 4: Simplify right side
    974.72x = 702,871.19
  5. Step 5: Solve for x
    x = 702,871.19/974.72
  6. Step 6: Final answer
    x = 721.10

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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.