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Finding the Fourth Proportional to 920.33, 1,269.84 and 671.78

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Solution

The fourth proportional to 920.33, 1,269.84 and 671.78 is: 926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.33 : 1,269.84 = 671.78 : x
  2. Step 2: Convert to fraction form
    920.33/1,269.84 = 671.78/x
  3. Step 3: Cross multiply
    920.33x = 1,269.84 × 671.78
  4. Step 4: Simplify right side
    920.33x = 853,053.12
  5. Step 5: Solve for x
    x = 853,053.12/920.33
  6. Step 6: Final answer
    x = 926.90

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1.5x scale

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.