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Finding the Fourth Proportional to 581.64, 872.88 and 321.78

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Solution

The fourth proportional to 581.64, 872.88 and 321.78 is: 482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.64 : 872.88 = 321.78 : x
  2. Step 2: Convert to fraction form
    581.64/872.88 = 321.78/x
  3. Step 3: Cross multiply
    581.64x = 872.88 × 321.78
  4. Step 4: Simplify right side
    581.64x = 280,875.33
  5. Step 5: Solve for x
    x = 280,875.33/581.64
  6. Step 6: Final answer
    x = 482.90

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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.