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Finding the Fourth Proportional to 582.10, 872.78 and 235.15

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Solution

The fourth proportional to 582.10, 872.78 and 235.15 is: 352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.10 : 872.78 = 235.15 : x
  2. Step 2: Convert to fraction form
    582.10/872.78 = 235.15/x
  3. Step 3: Cross multiply
    582.10x = 872.78 × 235.15
  4. Step 4: Simplify right side
    582.10x = 205,232.62
  5. Step 5: Solve for x
    x = 205,232.62/582.10
  6. Step 6: Final answer
    x = 352.57

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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.