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Finding the Fourth Proportional to 950.67, 1,312.27 and 729.34

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Solution

The fourth proportional to 950.67, 1,312.27 and 729.34 is: 1,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.67 : 1,312.27 = 729.34 : x
  2. Step 2: Convert to fraction form
    950.67/1,312.27 = 729.34/x
  3. Step 3: Cross multiply
    950.67x = 1,312.27 × 729.34
  4. Step 4: Simplify right side
    950.67x = 957,085.90
  5. Step 5: Solve for x
    x = 957,085.90/950.67
  6. Step 6: Final answer
    x = 1,006.75

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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.