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Finding the Fourth Proportional to 583.45, 875.72 and 213.61

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Solution

The fourth proportional to 583.45, 875.72 and 213.61 is: 320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.45 : 875.72 = 213.61 : x
  2. Step 2: Convert to fraction form
    583.45/875.72 = 213.61/x
  3. Step 3: Cross multiply
    583.45x = 875.72 × 213.61
  4. Step 4: Simplify right side
    583.45x = 187,061.48
  5. Step 5: Solve for x
    x = 187,061.48/583.45
  6. Step 6: Final answer
    x = 320.62

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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.