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Finding the Fourth Proportional to 974.28, 1,460.58 and 396.78

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Solution

The fourth proportional to 974.28, 1,460.58 and 396.78 is: 594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.28 : 1,460.58 = 396.78 : x
  2. Step 2: Convert to fraction form
    974.28/1,460.58 = 396.78/x
  3. Step 3: Cross multiply
    974.28x = 1,460.58 × 396.78
  4. Step 4: Simplify right side
    974.28x = 579,528.93
  5. Step 5: Solve for x
    x = 579,528.93/974.28
  6. Step 6: Final answer
    x = 594.83

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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.