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Finding the Fourth Proportional to 974.96, 1,344.57 and 625.58

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Solution

The fourth proportional to 974.96, 1,344.57 and 625.58 is: 862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.96 : 1,344.57 = 625.58 : x
  2. Step 2: Convert to fraction form
    974.96/1,344.57 = 625.58/x
  3. Step 3: Cross multiply
    974.96x = 1,344.57 × 625.58
  4. Step 4: Simplify right side
    974.96x = 841,136.10
  5. Step 5: Solve for x
    x = 841,136.10/974.96
  6. Step 6: Final answer
    x = 862.74

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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.