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Finding the Fourth Proportional to 722.57, 1,081.62 and 392.69

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Solution

The fourth proportional to 722.57, 1,081.62 and 392.69 is: 587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.57 : 1,081.62 = 392.69 : x
  2. Step 2: Convert to fraction form
    722.57/1,081.62 = 392.69/x
  3. Step 3: Cross multiply
    722.57x = 1,081.62 × 392.69
  4. Step 4: Simplify right side
    722.57x = 424,741.36
  5. Step 5: Solve for x
    x = 424,741.36/722.57
  6. Step 6: Final answer
    x = 587.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.