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Finding the Fourth Proportional to 568.57, 852.54 and 178.40

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Solution

The fourth proportional to 568.57, 852.54 and 178.40 is: 267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.57 : 852.54 = 178.40 : x
  2. Step 2: Convert to fraction form
    568.57/852.54 = 178.40/x
  3. Step 3: Cross multiply
    568.57x = 852.54 × 178.40
  4. Step 4: Simplify right side
    568.57x = 152,093.14
  5. Step 5: Solve for x
    x = 152,093.14/568.57
  6. Step 6: Final answer
    x = 267.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.