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Finding the Fourth Proportional to 800.05, 1,191.82 and 775.87

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Solution

The fourth proportional to 800.05, 1,191.82 and 775.87 is: 1,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.05 : 1,191.82 = 775.87 : x
  2. Step 2: Convert to fraction form
    800.05/1,191.82 = 775.87/x
  3. Step 3: Cross multiply
    800.05x = 1,191.82 × 775.87
  4. Step 4: Simplify right side
    800.05x = 924,697.38
  5. Step 5: Solve for x
    x = 924,697.38/800.05
  6. Step 6: Final answer
    x = 1,155.80

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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.