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Finding the Fourth Proportional to 587.31, 810.57 and 422.07

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Solution

The fourth proportional to 587.31, 810.57 and 422.07 is: 582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.31 : 810.57 = 422.07 : x
  2. Step 2: Convert to fraction form
    587.31/810.57 = 422.07/x
  3. Step 3: Cross multiply
    587.31x = 810.57 × 422.07
  4. Step 4: Simplify right side
    587.31x = 342,115.82
  5. Step 5: Solve for x
    x = 342,115.82/587.31
  6. Step 6: Final answer
    x = 582.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.