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Finding the Fourth Proportional to 583.71, 875.72 and 218.54

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Solution

The fourth proportional to 583.71, 875.72 and 218.54 is: 327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.71 : 875.72 = 218.54 : x
  2. Step 2: Convert to fraction form
    583.71/875.72 = 218.54/x
  3. Step 3: Cross multiply
    583.71x = 875.72 × 218.54
  4. Step 4: Simplify right side
    583.71x = 191,375.47
  5. Step 5: Solve for x
    x = 191,375.47/583.71
  6. Step 6: Final answer
    x = 327.86

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1.5x scale

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.