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Finding the Fourth Proportional to 945.96, 1,306.50 and 772.20

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Solution

The fourth proportional to 945.96, 1,306.50 and 772.20 is: 1,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.96 : 1,306.50 = 772.20 : x
  2. Step 2: Convert to fraction form
    945.96/1,306.50 = 772.20/x
  3. Step 3: Cross multiply
    945.96x = 1,306.50 × 772.20
  4. Step 4: Simplify right side
    945.96x = 1,008,879.30
  5. Step 5: Solve for x
    x = 1,008,879.30/945.96
  6. Step 6: Final answer
    x = 1,066.51

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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.