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Finding the Fourth Proportional to 974.18, 1,461.26 and 611.27

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Solution

The fourth proportional to 974.18, 1,461.26 and 611.27 is: 916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.18 : 1,461.26 = 611.27 : x
  2. Step 2: Convert to fraction form
    974.18/1,461.26 = 611.27/x
  3. Step 3: Cross multiply
    974.18x = 1,461.26 × 611.27
  4. Step 4: Simplify right side
    974.18x = 893,224.10
  5. Step 5: Solve for x
    x = 893,224.10/974.18
  6. Step 6: Final answer
    x = 916.90

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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.