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Finding the Fourth Proportional to 800.78, 1,202.97 and 527.40

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Solution

The fourth proportional to 800.78, 1,202.97 and 527.40 is: 792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.78 : 1,202.97 = 527.40 : x
  2. Step 2: Convert to fraction form
    800.78/1,202.97 = 527.40/x
  3. Step 3: Cross multiply
    800.78x = 1,202.97 × 527.40
  4. Step 4: Simplify right side
    800.78x = 634,446.38
  5. Step 5: Solve for x
    x = 634,446.38/800.78
  6. Step 6: Final answer
    x = 792.29

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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.