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Finding the Fourth Proportional to 864.96, 1,193.90 and 550.23

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Solution

The fourth proportional to 864.96, 1,193.90 and 550.23 is: 759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.96 : 1,193.90 = 550.23 : x
  2. Step 2: Convert to fraction form
    864.96/1,193.90 = 550.23/x
  3. Step 3: Cross multiply
    864.96x = 1,193.90 × 550.23
  4. Step 4: Simplify right side
    864.96x = 656,916.85
  5. Step 5: Solve for x
    x = 656,916.85/864.96
  6. Step 6: Final answer
    x = 759.48

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Double scale
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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.