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Finding the Fourth Proportional to 945.78, 1,306.44 and 770.82

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Solution

The fourth proportional to 945.78, 1,306.44 and 770.82 is: 1,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.78 : 1,306.44 = 770.82 : x
  2. Step 2: Convert to fraction form
    945.78/1,306.44 = 770.82/x
  3. Step 3: Cross multiply
    945.78x = 1,306.44 × 770.82
  4. Step 4: Simplify right side
    945.78x = 1,007,030.08
  5. Step 5: Solve for x
    x = 1,007,030.08/945.78
  6. Step 6: Final answer
    x = 1,064.76

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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.