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Finding the Fourth Proportional to 947.94, 1,306.47 and 762.06

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Solution

The fourth proportional to 947.94, 1,306.47 and 762.06 is: 1,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.94 : 1,306.47 = 762.06 : x
  2. Step 2: Convert to fraction form
    947.94/1,306.47 = 762.06/x
  3. Step 3: Cross multiply
    947.94x = 1,306.47 × 762.06
  4. Step 4: Simplify right side
    947.94x = 995,608.53
  5. Step 5: Solve for x
    x = 995,608.53/947.94
  6. Step 6: Final answer
    x = 1,050.29

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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.