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Finding the Fourth Proportional to 559.04, 837.76 and 270.08

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Solution

The fourth proportional to 559.04, 837.76 and 270.08 is: 404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.04 : 837.76 = 270.08 : x
  2. Step 2: Convert to fraction form
    559.04/837.76 = 270.08/x
  3. Step 3: Cross multiply
    559.04x = 837.76 × 270.08
  4. Step 4: Simplify right side
    559.04x = 226,262.22
  5. Step 5: Solve for x
    x = 226,262.22/559.04
  6. Step 6: Final answer
    x = 404.73

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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.