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Finding the Fourth Proportional to 947.60, 1,305.82 and 769.99

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Solution

The fourth proportional to 947.60, 1,305.82 and 769.99 is: 1,061.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.60 : 1,305.82 = 769.99 : x
  2. Step 2: Convert to fraction form
    947.60/1,305.82 = 769.99/x
  3. Step 3: Cross multiply
    947.60x = 1,305.82 × 769.99
  4. Step 4: Simplify right side
    947.60x = 1,005,465.73
  5. Step 5: Solve for x
    x = 1,005,465.73/947.60
  6. Step 6: Final answer
    x = 1,061.07

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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.