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Finding the Fourth Proportional to 585.36, 879.12 and 393.12

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Solution

The fourth proportional to 585.36, 879.12 and 393.12 is: 590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.36 : 879.12 = 393.12 : x
  2. Step 2: Convert to fraction form
    585.36/879.12 = 393.12/x
  3. Step 3: Cross multiply
    585.36x = 879.12 × 393.12
  4. Step 4: Simplify right side
    585.36x = 345,599.65
  5. Step 5: Solve for x
    x = 345,599.65/585.36
  6. Step 6: Final answer
    x = 590.41

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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.