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Finding the Fourth Proportional to 974.62, 1,461.33 and 389.71

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Solution

The fourth proportional to 974.62, 1,461.33 and 389.71 is: 584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.62 : 1,461.33 = 389.71 : x
  2. Step 2: Convert to fraction form
    974.62/1,461.33 = 389.71/x
  3. Step 3: Cross multiply
    974.62x = 1,461.33 × 389.71
  4. Step 4: Simplify right side
    974.62x = 569,494.91
  5. Step 5: Solve for x
    x = 569,494.91/974.62
  6. Step 6: Final answer
    x = 584.33

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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.