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Finding the Fourth Proportional to 588.55, 810.56 and 422.48

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Solution

The fourth proportional to 588.55, 810.56 and 422.48 is: 581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.55 : 810.56 = 422.48 : x
  2. Step 2: Convert to fraction form
    588.55/810.56 = 422.48/x
  3. Step 3: Cross multiply
    588.55x = 810.56 × 422.48
  4. Step 4: Simplify right side
    588.55x = 342,442.68
  5. Step 5: Solve for x
    x = 342,442.68/588.55
  6. Step 6: Final answer
    x = 581.84

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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.