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Finding the Fourth Proportional to 572.42, 855.28 and 423.54

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Solution

The fourth proportional to 572.42, 855.28 and 423.54 is: 632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.42 : 855.28 = 423.54 : x
  2. Step 2: Convert to fraction form
    572.42/855.28 = 423.54/x
  3. Step 3: Cross multiply
    572.42x = 855.28 × 423.54
  4. Step 4: Simplify right side
    572.42x = 362,245.82
  5. Step 5: Solve for x
    x = 362,245.82/572.42
  6. Step 6: Final answer
    x = 632.83

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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.