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Finding the Fourth Proportional to 588.99, 813.05 and 421.11

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Solution

The fourth proportional to 588.99, 813.05 and 421.11 is: 581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.99 : 813.05 = 421.11 : x
  2. Step 2: Convert to fraction form
    588.99/813.05 = 421.11/x
  3. Step 3: Cross multiply
    588.99x = 813.05 × 421.11
  4. Step 4: Simplify right side
    588.99x = 342,383.41
  5. Step 5: Solve for x
    x = 342,383.41/588.99
  6. Step 6: Final answer
    x = 581.31

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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.