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Finding the Fourth Proportional to 1,281.80, 1,920.26 and 732.30

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Solution

The fourth proportional to 1,281.80, 1,920.26 and 732.30 is: 1,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.80 : 1,920.26 = 732.30 : x
  2. Step 2: Convert to fraction form
    1,281.80/1,920.26 = 732.30/x
  3. Step 3: Cross multiply
    1,281.80x = 1,920.26 × 732.30
  4. Step 4: Simplify right side
    1,281.80x = 1,406,202.74
  5. Step 5: Solve for x
    x = 1,406,202.74/1,281.80
  6. Step 6: Final answer
    x = 1,097.06

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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.