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Finding the Fourth Proportional to 586.49, 879.07 and 277.91

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Solution

The fourth proportional to 586.49, 879.07 and 277.91 is: 416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.49 : 879.07 = 277.91 : x
  2. Step 2: Convert to fraction form
    586.49/879.07 = 277.91/x
  3. Step 3: Cross multiply
    586.49x = 879.07 × 277.91
  4. Step 4: Simplify right side
    586.49x = 244,297.43
  5. Step 5: Solve for x
    x = 244,297.43/586.49
  6. Step 6: Final answer
    x = 416.54

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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.