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Finding the Fourth Proportional to 799.96, 1,200.62 and 313.35

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Solution

The fourth proportional to 799.96, 1,200.62 and 313.35 is: 470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.96 : 1,200.62 = 313.35 : x
  2. Step 2: Convert to fraction form
    799.96/1,200.62 = 313.35/x
  3. Step 3: Cross multiply
    799.96x = 1,200.62 × 313.35
  4. Step 4: Simplify right side
    799.96x = 376,206.71
  5. Step 5: Solve for x
    x = 376,206.71/799.96
  6. Step 6: Final answer
    x = 470.28

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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.