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Finding the Fourth Proportional to 583.68, 872.18 and 444.09

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Solution

The fourth proportional to 583.68, 872.18 and 444.09 is: 663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.68 : 872.18 = 444.09 : x
  2. Step 2: Convert to fraction form
    583.68/872.18 = 444.09/x
  3. Step 3: Cross multiply
    583.68x = 872.18 × 444.09
  4. Step 4: Simplify right side
    583.68x = 387,327.53
  5. Step 5: Solve for x
    x = 387,327.53/583.68
  6. Step 6: Final answer
    x = 663.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.