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Finding the Fourth Proportional to 557.58, 769.32 and 324.57

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Solution

The fourth proportional to 557.58, 769.32 and 324.57 is: 447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.58 : 769.32 = 324.57 : x
  2. Step 2: Convert to fraction form
    557.58/769.32 = 324.57/x
  3. Step 3: Cross multiply
    557.58x = 769.32 × 324.57
  4. Step 4: Simplify right side
    557.58x = 249,698.19
  5. Step 5: Solve for x
    x = 249,698.19/557.58
  6. Step 6: Final answer
    x = 447.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.