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Finding the Fourth Proportional to 899.43, 1,350.36 and 870.27

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Solution

The fourth proportional to 899.43, 1,350.36 and 870.27 is: 1,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.43 : 1,350.36 = 870.27 : x
  2. Step 2: Convert to fraction form
    899.43/1,350.36 = 870.27/x
  3. Step 3: Cross multiply
    899.43x = 1,350.36 × 870.27
  4. Step 4: Simplify right side
    899.43x = 1,175,177.80
  5. Step 5: Solve for x
    x = 1,175,177.80/899.43
  6. Step 6: Final answer
    x = 1,306.58

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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.