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Finding the Fourth Proportional to 722.12, 1,081.96 and 288.77

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Solution

The fourth proportional to 722.12, 1,081.96 and 288.77 is: 432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.12 : 1,081.96 = 288.77 : x
  2. Step 2: Convert to fraction form
    722.12/1,081.96 = 288.77/x
  3. Step 3: Cross multiply
    722.12x = 1,081.96 × 288.77
  4. Step 4: Simplify right side
    722.12x = 312,431.46
  5. Step 5: Solve for x
    x = 312,431.46/722.12
  6. Step 6: Final answer
    x = 432.66

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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.