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Finding the Fourth Proportional to 899.53, 1,349.24 and 552.92

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Solution

The fourth proportional to 899.53, 1,349.24 and 552.92 is: 829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.53 : 1,349.24 = 552.92 : x
  2. Step 2: Convert to fraction form
    899.53/1,349.24 = 552.92/x
  3. Step 3: Cross multiply
    899.53x = 1,349.24 × 552.92
  4. Step 4: Simplify right side
    899.53x = 746,017.33
  5. Step 5: Solve for x
    x = 746,017.33/899.53
  6. Step 6: Final answer
    x = 829.34

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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.