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Finding the Fourth Proportional to 974.50, 1,344.34 and 708.53

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Solution

The fourth proportional to 974.50, 1,344.34 and 708.53 is: 977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.50 : 1,344.34 = 708.53 : x
  2. Step 2: Convert to fraction form
    974.50/1,344.34 = 708.53/x
  3. Step 3: Cross multiply
    974.50x = 1,344.34 × 708.53
  4. Step 4: Simplify right side
    974.50x = 952,495.40
  5. Step 5: Solve for x
    x = 952,495.40/974.50
  6. Step 6: Final answer
    x = 977.42

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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.