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Finding the Fourth Proportional to 974.19, 1,461.86 and 389.48

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Solution

The fourth proportional to 974.19, 1,461.86 and 389.48 is: 584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.19 : 1,461.86 = 389.48 : x
  2. Step 2: Convert to fraction form
    974.19/1,461.86 = 389.48/x
  3. Step 3: Cross multiply
    974.19x = 1,461.86 × 389.48
  4. Step 4: Simplify right side
    974.19x = 569,358.90
  5. Step 5: Solve for x
    x = 569,358.90/974.19
  6. Step 6: Final answer
    x = 584.44

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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.