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Finding the Fourth Proportional to 559.17, 837.21 and 421.80

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Solution

The fourth proportional to 559.17, 837.21 and 421.80 is: 631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.17 : 837.21 = 421.80 : x
  2. Step 2: Convert to fraction form
    559.17/837.21 = 421.80/x
  3. Step 3: Cross multiply
    559.17x = 837.21 × 421.80
  4. Step 4: Simplify right side
    559.17x = 353,135.18
  5. Step 5: Solve for x
    x = 353,135.18/559.17
  6. Step 6: Final answer
    x = 631.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.