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Finding the Fourth Proportional to 974.56, 1,461.20 and 487.32

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Solution

The fourth proportional to 974.56, 1,461.20 and 487.32 is: 730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.56 : 1,461.20 = 487.32 : x
  2. Step 2: Convert to fraction form
    974.56/1,461.20 = 487.32/x
  3. Step 3: Cross multiply
    974.56x = 1,461.20 × 487.32
  4. Step 4: Simplify right side
    974.56x = 712,071.98
  5. Step 5: Solve for x
    x = 712,071.98/974.56
  6. Step 6: Final answer
    x = 730.66

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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.