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Finding the Fourth Proportional to 590.41, 813.90 and 421.98

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Solution

The fourth proportional to 590.41, 813.90 and 421.98 is: 581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.41 : 813.90 = 421.98 : x
  2. Step 2: Convert to fraction form
    590.41/813.90 = 421.98/x
  3. Step 3: Cross multiply
    590.41x = 813.90 × 421.98
  4. Step 4: Simplify right side
    590.41x = 343,452.55
  5. Step 5: Solve for x
    x = 343,452.55/590.41
  6. Step 6: Final answer
    x = 581.71

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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.