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Finding the Fourth Proportional to 899.86, 1,350.32 and 830.15

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Solution

The fourth proportional to 899.86, 1,350.32 and 830.15 is: 1,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.86 : 1,350.32 = 830.15 : x
  2. Step 2: Convert to fraction form
    899.86/1,350.32 = 830.15/x
  3. Step 3: Cross multiply
    899.86x = 1,350.32 × 830.15
  4. Step 4: Simplify right side
    899.86x = 1,120,966.98
  5. Step 5: Solve for x
    x = 1,120,966.98/899.86
  6. Step 6: Final answer
    x = 1,245.71

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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.