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Finding the Fourth Proportional to 951.74, 1,313.22 and 558.59

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Solution

The fourth proportional to 951.74, 1,313.22 and 558.59 is: 770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.74 : 1,313.22 = 558.59 : x
  2. Step 2: Convert to fraction form
    951.74/1,313.22 = 558.59/x
  3. Step 3: Cross multiply
    951.74x = 1,313.22 × 558.59
  4. Step 4: Simplify right side
    951.74x = 733,551.56
  5. Step 5: Solve for x
    x = 733,551.56/951.74
  6. Step 6: Final answer
    x = 770.75

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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.