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Finding the Fourth Proportional to 951.50, 1,313.46 and 689.46

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Solution

The fourth proportional to 951.50, 1,313.46 and 689.46 is: 951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.50 : 1,313.46 = 689.46 : x
  2. Step 2: Convert to fraction form
    951.50/1,313.46 = 689.46/x
  3. Step 3: Cross multiply
    951.50x = 1,313.46 × 689.46
  4. Step 4: Simplify right side
    951.50x = 905,578.13
  5. Step 5: Solve for x
    x = 905,578.13/951.50
  6. Step 6: Final answer
    x = 951.74

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1.5x scale

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.