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Finding the Fourth Proportional to 1,326.96, 1,990.80 and 461.34

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Solution

The fourth proportional to 1,326.96, 1,990.80 and 461.34 is: 692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.96 : 1,990.80 = 461.34 : x
  2. Step 2: Convert to fraction form
    1,326.96/1,990.80 = 461.34/x
  3. Step 3: Cross multiply
    1,326.96x = 1,990.80 × 461.34
  4. Step 4: Simplify right side
    1,326.96x = 918,435.67
  5. Step 5: Solve for x
    x = 918,435.67/1,326.96
  6. Step 6: Final answer
    x = 692.14

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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.