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Finding the Fourth Proportional to 899.72, 1,349.28 and 351.62

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Solution

The fourth proportional to 899.72, 1,349.28 and 351.62 is: 527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.72 : 1,349.28 = 351.62 : x
  2. Step 2: Convert to fraction form
    899.72/1,349.28 = 351.62/x
  3. Step 3: Cross multiply
    899.72x = 1,349.28 × 351.62
  4. Step 4: Simplify right side
    899.72x = 474,433.83
  5. Step 5: Solve for x
    x = 474,433.83/899.72
  6. Step 6: Final answer
    x = 527.31

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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.