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Finding the Fourth Proportional to 891.79, 1,337.69 and 314.66

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Solution

The fourth proportional to 891.79, 1,337.69 and 314.66 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.79 : 1,337.69 = 314.66 : x
  2. Step 2: Convert to fraction form
    891.79/1,337.69 = 314.66/x
  3. Step 3: Cross multiply
    891.79x = 1,337.69 × 314.66
  4. Step 4: Simplify right side
    891.79x = 420,917.54
  5. Step 5: Solve for x
    x = 420,917.54/891.79
  6. Step 6: Final answer
    x = 471.99

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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.