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Finding the Fourth Proportional to 800.07, 1,200.41 and 313.46

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Solution

The fourth proportional to 800.07, 1,200.41 and 313.46 is: 470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.07 : 1,200.41 = 313.46 : x
  2. Step 2: Convert to fraction form
    800.07/1,200.41 = 313.46/x
  3. Step 3: Cross multiply
    800.07x = 1,200.41 × 313.46
  4. Step 4: Simplify right side
    800.07x = 376,280.52
  5. Step 5: Solve for x
    x = 376,280.52/800.07
  6. Step 6: Final answer
    x = 470.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.