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Finding the Fourth Proportional to 583.08, 874.49 and 339.27

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Solution

The fourth proportional to 583.08, 874.49 and 339.27 is: 508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.08 : 874.49 = 339.27 : x
  2. Step 2: Convert to fraction form
    583.08/874.49 = 339.27/x
  3. Step 3: Cross multiply
    583.08x = 874.49 × 339.27
  4. Step 4: Simplify right side
    583.08x = 296,686.53
  5. Step 5: Solve for x
    x = 296,686.53/583.08
  6. Step 6: Final answer
    x = 508.83

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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.