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Finding the Fourth Proportional to 583.86, 875.91 and 218.61

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Solution

The fourth proportional to 583.86, 875.91 and 218.61 is: 327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.86 : 875.91 = 218.61 : x
  2. Step 2: Convert to fraction form
    583.86/875.91 = 218.61/x
  3. Step 3: Cross multiply
    583.86x = 875.91 × 218.61
  4. Step 4: Simplify right side
    583.86x = 191,482.69
  5. Step 5: Solve for x
    x = 191,482.69/583.86
  6. Step 6: Final answer
    x = 327.96

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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.