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Finding the Fourth Proportional to 572.27, 852.47 and 552.27

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Solution

The fourth proportional to 572.27, 852.47 and 552.27 is: 822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.27 : 852.47 = 552.27 : x
  2. Step 2: Convert to fraction form
    572.27/852.47 = 552.27/x
  3. Step 3: Cross multiply
    572.27x = 852.47 × 552.27
  4. Step 4: Simplify right side
    572.27x = 470,794.42
  5. Step 5: Solve for x
    x = 470,794.42/572.27
  6. Step 6: Final answer
    x = 822.69

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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.