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Finding the Fourth Proportional to 945.80, 1,306.45 and 788.94

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Solution

The fourth proportional to 945.80, 1,306.45 and 788.94 is: 1,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.80 : 1,306.45 = 788.94 : x
  2. Step 2: Convert to fraction form
    945.80/1,306.45 = 788.94/x
  3. Step 3: Cross multiply
    945.80x = 1,306.45 × 788.94
  4. Step 4: Simplify right side
    945.80x = 1,030,710.66
  5. Step 5: Solve for x
    x = 1,030,710.66/945.80
  6. Step 6: Final answer
    x = 1,089.78

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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.