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Finding the Fourth Proportional to 552.87, 824.75 and 513.57

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Solution

The fourth proportional to 552.87, 824.75 and 513.57 is: 766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.87 : 824.75 = 513.57 : x
  2. Step 2: Convert to fraction form
    552.87/824.75 = 513.57/x
  3. Step 3: Cross multiply
    552.87x = 824.75 × 513.57
  4. Step 4: Simplify right side
    552.87x = 423,564.29
  5. Step 5: Solve for x
    x = 423,564.29/552.87
  6. Step 6: Final answer
    x = 766.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.