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Finding the Fourth Proportional to 929.43, 1,390.77 and 800.96

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Solution

The fourth proportional to 929.43, 1,390.77 and 800.96 is: 1,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.43 : 1,390.77 = 800.96 : x
  2. Step 2: Convert to fraction form
    929.43/1,390.77 = 800.96/x
  3. Step 3: Cross multiply
    929.43x = 1,390.77 × 800.96
  4. Step 4: Simplify right side
    929.43x = 1,113,944.19
  5. Step 5: Solve for x
    x = 1,113,944.19/929.43
  6. Step 6: Final answer
    x = 1,198.52

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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.