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Finding the Fourth Proportional to 584.52, 876.77 and 338.09

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Solution

The fourth proportional to 584.52, 876.77 and 338.09 is: 507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.52 : 876.77 = 338.09 : x
  2. Step 2: Convert to fraction form
    584.52/876.77 = 338.09/x
  3. Step 3: Cross multiply
    584.52x = 876.77 × 338.09
  4. Step 4: Simplify right side
    584.52x = 296,430.88
  5. Step 5: Solve for x
    x = 296,430.88/584.52
  6. Step 6: Final answer
    x = 507.14

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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.