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Finding the Fourth Proportional to 974.16, 1,459.71 and 425.34

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Solution

The fourth proportional to 974.16, 1,459.71 and 425.34 is: 637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.16 : 1,459.71 = 425.34 : x
  2. Step 2: Convert to fraction form
    974.16/1,459.71 = 425.34/x
  3. Step 3: Cross multiply
    974.16x = 1,459.71 × 425.34
  4. Step 4: Simplify right side
    974.16x = 620,873.05
  5. Step 5: Solve for x
    x = 620,873.05/974.16
  6. Step 6: Final answer
    x = 637.34

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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.