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Finding the Fourth Proportional to 583.67, 875.57 and 198.83

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Solution

The fourth proportional to 583.67, 875.57 and 198.83 is: 298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.67 : 875.57 = 198.83 : x
  2. Step 2: Convert to fraction form
    583.67/875.57 = 198.83/x
  3. Step 3: Cross multiply
    583.67x = 875.57 × 198.83
  4. Step 4: Simplify right side
    583.67x = 174,088.59
  5. Step 5: Solve for x
    x = 174,088.59/583.67
  6. Step 6: Final answer
    x = 298.27

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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.