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Finding the Fourth Proportional to 571.84, 854.36 and 552.72

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Solution

The fourth proportional to 571.84, 854.36 and 552.72 is: 825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.84 : 854.36 = 552.72 : x
  2. Step 2: Convert to fraction form
    571.84/854.36 = 552.72/x
  3. Step 3: Cross multiply
    571.84x = 854.36 × 552.72
  4. Step 4: Simplify right side
    571.84x = 472,221.86
  5. Step 5: Solve for x
    x = 472,221.86/571.84
  6. Step 6: Final answer
    x = 825.79

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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.