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Finding the Fourth Proportional to 974.56, 1,461.30 and 740.38

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Solution

The fourth proportional to 974.56, 1,461.30 and 740.38 is: 1,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.56 : 1,461.30 = 740.38 : x
  2. Step 2: Convert to fraction form
    974.56/1,461.30 = 740.38/x
  3. Step 3: Cross multiply
    974.56x = 1,461.30 × 740.38
  4. Step 4: Simplify right side
    974.56x = 1,081,917.29
  5. Step 5: Solve for x
    x = 1,081,917.29/974.56
  6. Step 6: Final answer
    x = 1,110.16

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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.