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Finding the Fourth Proportional to 974.11, 1,461.59 and 511.78

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Solution

The fourth proportional to 974.11, 1,461.59 and 511.78 is: 767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.11 : 1,461.59 = 511.78 : x
  2. Step 2: Convert to fraction form
    974.11/1,461.59 = 511.78/x
  3. Step 3: Cross multiply
    974.11x = 1,461.59 × 511.78
  4. Step 4: Simplify right side
    974.11x = 748,006.32
  5. Step 5: Solve for x
    x = 748,006.32/974.11
  6. Step 6: Final answer
    x = 767.89

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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.