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Finding the Fourth Proportional to 949.26, 1,312.43 and 728.94

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Solution

The fourth proportional to 949.26, 1,312.43 and 728.94 is: 1,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.26 : 1,312.43 = 728.94 : x
  2. Step 2: Convert to fraction form
    949.26/1,312.43 = 728.94/x
  3. Step 3: Cross multiply
    949.26x = 1,312.43 × 728.94
  4. Step 4: Simplify right side
    949.26x = 956,679.08
  5. Step 5: Solve for x
    x = 956,679.08/949.26
  6. Step 6: Final answer
    x = 1,007.82

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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.