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Finding the Fourth Proportional to 920.91, 1,269.61 and 625.66

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Solution

The fourth proportional to 920.91, 1,269.61 and 625.66 is: 862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.91 : 1,269.61 = 625.66 : x
  2. Step 2: Convert to fraction form
    920.91/1,269.61 = 625.66/x
  3. Step 3: Cross multiply
    920.91x = 1,269.61 × 625.66
  4. Step 4: Simplify right side
    920.91x = 794,344.19
  5. Step 5: Solve for x
    x = 794,344.19/920.91
  6. Step 6: Final answer
    x = 862.56

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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.