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Finding the Fourth Proportional to 586.48, 879.12 and 339.37

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Solution

The fourth proportional to 586.48, 879.12 and 339.37 is: 508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.48 : 879.12 = 339.37 : x
  2. Step 2: Convert to fraction form
    586.48/879.12 = 339.37/x
  3. Step 3: Cross multiply
    586.48x = 879.12 × 339.37
  4. Step 4: Simplify right side
    586.48x = 298,346.95
  5. Step 5: Solve for x
    x = 298,346.95/586.48
  6. Step 6: Final answer
    x = 508.71

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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.