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Finding the Fourth Proportional to 899.44, 1,346.60 and 671.60

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Solution

The fourth proportional to 899.44, 1,346.60 and 671.60 is: 1,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.44 : 1,346.60 = 671.60 : x
  2. Step 2: Convert to fraction form
    899.44/1,346.60 = 671.60/x
  3. Step 3: Cross multiply
    899.44x = 1,346.60 × 671.60
  4. Step 4: Simplify right side
    899.44x = 904,376.56
  5. Step 5: Solve for x
    x = 904,376.56/899.44
  6. Step 6: Final answer
    x = 1,005.49

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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.