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Finding the Fourth Proportional to 1,311.42, 1,966.92 and 852.46

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Solution

The fourth proportional to 1,311.42, 1,966.92 and 852.46 is: 1,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.42 : 1,966.92 = 852.46 : x
  2. Step 2: Convert to fraction form
    1,311.42/1,966.92 = 852.46/x
  3. Step 3: Cross multiply
    1,311.42x = 1,966.92 × 852.46
  4. Step 4: Simplify right side
    1,311.42x = 1,676,712.51
  5. Step 5: Solve for x
    x = 1,676,712.51/1,311.42
  6. Step 6: Final answer
    x = 1,278.54

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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.