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Finding the Fourth Proportional to 583.88, 875.09 and 418.49

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Solution

The fourth proportional to 583.88, 875.09 and 418.49 is: 627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.88 : 875.09 = 418.49 : x
  2. Step 2: Convert to fraction form
    583.88/875.09 = 418.49/x
  3. Step 3: Cross multiply
    583.88x = 875.09 × 418.49
  4. Step 4: Simplify right side
    583.88x = 366,216.41
  5. Step 5: Solve for x
    x = 366,216.41/583.88
  6. Step 6: Final answer
    x = 627.21

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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.