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Finding the Fourth Proportional to 581.69, 872.69 and 248.31

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Solution

The fourth proportional to 581.69, 872.69 and 248.31 is: 372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.69 : 872.69 = 248.31 : x
  2. Step 2: Convert to fraction form
    581.69/872.69 = 248.31/x
  3. Step 3: Cross multiply
    581.69x = 872.69 × 248.31
  4. Step 4: Simplify right side
    581.69x = 216,697.65
  5. Step 5: Solve for x
    x = 216,697.65/581.69
  6. Step 6: Final answer
    x = 372.53

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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.