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Finding the Fourth Proportional to 899.52, 1,349.37 and 351.75

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Solution

The fourth proportional to 899.52, 1,349.37 and 351.75 is: 527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.52 : 1,349.37 = 351.75 : x
  2. Step 2: Convert to fraction form
    899.52/1,349.37 = 351.75/x
  3. Step 3: Cross multiply
    899.52x = 1,349.37 × 351.75
  4. Step 4: Simplify right side
    899.52x = 474,640.90
  5. Step 5: Solve for x
    x = 474,640.90/899.52
  6. Step 6: Final answer
    x = 527.66

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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.