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Finding the Fourth Proportional to 1,311.38, 1,968.90 and 899.50

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Solution

The fourth proportional to 1,311.38, 1,968.90 and 899.50 is: 1,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.38 : 1,968.90 = 899.50 : x
  2. Step 2: Convert to fraction form
    1,311.38/1,968.90 = 899.50/x
  3. Step 3: Cross multiply
    1,311.38x = 1,968.90 × 899.50
  4. Step 4: Simplify right side
    1,311.38x = 1,771,025.55
  5. Step 5: Solve for x
    x = 1,771,025.55/1,311.38
  6. Step 6: Final answer
    x = 1,350.51

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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.