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Finding the Fourth Proportional to 583.74, 875.90 and 218.66

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Solution

The fourth proportional to 583.74, 875.90 and 218.66 is: 328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 875.90 = 218.66 : x
  2. Step 2: Convert to fraction form
    583.74/875.90 = 218.66/x
  3. Step 3: Cross multiply
    583.74x = 875.90 × 218.66
  4. Step 4: Simplify right side
    583.74x = 191,524.29
  5. Step 5: Solve for x
    x = 191,524.29/583.74
  6. Step 6: Final answer
    x = 328.10

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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.