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Finding the Fourth Proportional to 949.95, 1,311.52 and 728.47

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Solution

The fourth proportional to 949.95, 1,311.52 and 728.47 is: 1,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.95 : 1,311.52 = 728.47 : x
  2. Step 2: Convert to fraction form
    949.95/1,311.52 = 728.47/x
  3. Step 3: Cross multiply
    949.95x = 1,311.52 × 728.47
  4. Step 4: Simplify right side
    949.95x = 955,399.33
  5. Step 5: Solve for x
    x = 955,399.33/949.95
  6. Step 6: Final answer
    x = 1,005.74

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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.