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Finding the Fourth Proportional to 899.73, 1,350.20 and 437.83

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Solution

The fourth proportional to 899.73, 1,350.20 and 437.83 is: 657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.73 : 1,350.20 = 437.83 : x
  2. Step 2: Convert to fraction form
    899.73/1,350.20 = 437.83/x
  3. Step 3: Cross multiply
    899.73x = 1,350.20 × 437.83
  4. Step 4: Simplify right side
    899.73x = 591,155.79
  5. Step 5: Solve for x
    x = 591,155.79/899.73
  6. Step 6: Final answer
    x = 657.04

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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.