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Finding the Fourth Proportional to 583.11, 874.62 and 257.76

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Solution

The fourth proportional to 583.11, 874.62 and 257.76 is: 386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.11 : 874.62 = 257.76 : x
  2. Step 2: Convert to fraction form
    583.11/874.62 = 257.76/x
  3. Step 3: Cross multiply
    583.11x = 874.62 × 257.76
  4. Step 4: Simplify right side
    583.11x = 225,442.05
  5. Step 5: Solve for x
    x = 225,442.05/583.11
  6. Step 6: Final answer
    x = 386.62

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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.