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Finding the Fourth Proportional to 1,266.72, 1,900.42 and 526.38

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Solution

The fourth proportional to 1,266.72, 1,900.42 and 526.38 is: 789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.72 : 1,900.42 = 526.38 : x
  2. Step 2: Convert to fraction form
    1,266.72/1,900.42 = 526.38/x
  3. Step 3: Cross multiply
    1,266.72x = 1,900.42 × 526.38
  4. Step 4: Simplify right side
    1,266.72x = 1,000,343.08
  5. Step 5: Solve for x
    x = 1,000,343.08/1,266.72
  6. Step 6: Final answer
    x = 789.71

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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.