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Finding the Fourth Proportional to 951.69, 1,305.82 and 899.44

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Solution

The fourth proportional to 951.69, 1,305.82 and 899.44 is: 1,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.69 : 1,305.82 = 899.44 : x
  2. Step 2: Convert to fraction form
    951.69/1,305.82 = 899.44/x
  3. Step 3: Cross multiply
    951.69x = 1,305.82 × 899.44
  4. Step 4: Simplify right side
    951.69x = 1,174,506.12
  5. Step 5: Solve for x
    x = 1,174,506.12/951.69
  6. Step 6: Final answer
    x = 1,234.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.