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Finding the Fourth Proportional to 588.16, 810.54 and 422.09

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Solution

The fourth proportional to 588.16, 810.54 and 422.09 is: 581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.16 : 810.54 = 422.09 : x
  2. Step 2: Convert to fraction form
    588.16/810.54 = 422.09/x
  3. Step 3: Cross multiply
    588.16x = 810.54 × 422.09
  4. Step 4: Simplify right side
    588.16x = 342,119.86
  5. Step 5: Solve for x
    x = 342,119.86/588.16
  6. Step 6: Final answer
    x = 581.68

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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.