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Finding the Fourth Proportional to 557.13, 768.85 and 324.26

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Solution

The fourth proportional to 557.13, 768.85 and 324.26 is: 447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.13 : 768.85 = 324.26 : x
  2. Step 2: Convert to fraction form
    557.13/768.85 = 324.26/x
  3. Step 3: Cross multiply
    557.13x = 768.85 × 324.26
  4. Step 4: Simplify right side
    557.13x = 249,307.30
  5. Step 5: Solve for x
    x = 249,307.30/557.13
  6. Step 6: Final answer
    x = 447.48

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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.