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Finding the Fourth Proportional to 557, 768.71 and 324.17

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Solution

The fourth proportional to 557, 768.71 and 324.17 is: 447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557 : 768.71 = 324.17 : x
  2. Step 2: Convert to fraction form
    557/768.71 = 324.17/x
  3. Step 3: Cross multiply
    557x = 768.71 × 324.17
  4. Step 4: Simplify right side
    557x = 249,191.10
  5. Step 5: Solve for x
    x = 249,191.10/557
  6. Step 6: Final answer
    x = 447.38

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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.