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Finding the Fourth Proportional to 895.81, 1,343.91 and 311.26

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Solution

The fourth proportional to 895.81, 1,343.91 and 311.26 is: 466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.81 : 1,343.91 = 311.26 : x
  2. Step 2: Convert to fraction form
    895.81/1,343.91 = 311.26/x
  3. Step 3: Cross multiply
    895.81x = 1,343.91 × 311.26
  4. Step 4: Simplify right side
    895.81x = 418,305.43
  5. Step 5: Solve for x
    x = 418,305.43/895.81
  6. Step 6: Final answer
    x = 466.96

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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.