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Finding the Fourth Proportional to 585.60, 879.09 and 311.82

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Solution

The fourth proportional to 585.60, 879.09 and 311.82 is: 468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.60 : 879.09 = 311.82 : x
  2. Step 2: Convert to fraction form
    585.60/879.09 = 311.82/x
  3. Step 3: Cross multiply
    585.60x = 879.09 × 311.82
  4. Step 4: Simplify right side
    585.60x = 274,117.84
  5. Step 5: Solve for x
    x = 274,117.84/585.60
  6. Step 6: Final answer
    x = 468.10

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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.