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Finding the Fourth Proportional to 974.63, 1,342.28 and 971.67

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Solution

The fourth proportional to 974.63, 1,342.28 and 971.67 is: 1,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.63 : 1,342.28 = 971.67 : x
  2. Step 2: Convert to fraction form
    974.63/1,342.28 = 971.67/x
  3. Step 3: Cross multiply
    974.63x = 1,342.28 × 971.67
  4. Step 4: Simplify right side
    974.63x = 1,304,241.64
  5. Step 5: Solve for x
    x = 1,304,241.64/974.63
  6. Step 6: Final answer
    x = 1,338.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.