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Finding the Fourth Proportional to 974.10, 1,461.78 and 426.45

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Solution

The fourth proportional to 974.10, 1,461.78 and 426.45 is: 639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.10 : 1,461.78 = 426.45 : x
  2. Step 2: Convert to fraction form
    974.10/1,461.78 = 426.45/x
  3. Step 3: Cross multiply
    974.10x = 1,461.78 × 426.45
  4. Step 4: Simplify right side
    974.10x = 623,376.08
  5. Step 5: Solve for x
    x = 623,376.08/974.10
  6. Step 6: Final answer
    x = 639.95

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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.