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Finding the Fourth Proportional to 557.51, 769.25 and 324.59

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Solution

The fourth proportional to 557.51, 769.25 and 324.59 is: 447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.51 : 769.25 = 324.59 : x
  2. Step 2: Convert to fraction form
    557.51/769.25 = 324.59/x
  3. Step 3: Cross multiply
    557.51x = 769.25 × 324.59
  4. Step 4: Simplify right side
    557.51x = 249,687.82
  5. Step 5: Solve for x
    x = 249,687.82/557.51
  6. Step 6: Final answer
    x = 447.87

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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.