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Finding the Fourth Proportional to 586.09, 879.02 and 277.66

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Solution

The fourth proportional to 586.09, 879.02 and 277.66 is: 416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.09 : 879.02 = 277.66 : x
  2. Step 2: Convert to fraction form
    586.09/879.02 = 277.66/x
  3. Step 3: Cross multiply
    586.09x = 879.02 × 277.66
  4. Step 4: Simplify right side
    586.09x = 244,062.91
  5. Step 5: Solve for x
    x = 244,062.91/586.09
  6. Step 6: Final answer
    x = 416.43

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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.