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Finding the Fourth Proportional to 581.43, 872.43 and 256.75

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Solution

The fourth proportional to 581.43, 872.43 and 256.75 is: 385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.43 : 872.43 = 256.75 : x
  2. Step 2: Convert to fraction form
    581.43/872.43 = 256.75/x
  3. Step 3: Cross multiply
    581.43x = 872.43 × 256.75
  4. Step 4: Simplify right side
    581.43x = 223,996.40
  5. Step 5: Solve for x
    x = 223,996.40/581.43
  6. Step 6: Final answer
    x = 385.25

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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.