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Finding the Fourth Proportional to 823.32, 1,235.52 and 390.24

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Solution

The fourth proportional to 823.32, 1,235.52 and 390.24 is: 585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.32 : 1,235.52 = 390.24 : x
  2. Step 2: Convert to fraction form
    823.32/1,235.52 = 390.24/x
  3. Step 3: Cross multiply
    823.32x = 1,235.52 × 390.24
  4. Step 4: Simplify right side
    823.32x = 482,149.32
  5. Step 5: Solve for x
    x = 482,149.32/823.32
  6. Step 6: Final answer
    x = 585.62

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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.