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Finding the Fourth Proportional to 1,626.61, 2,439.92 and 761.53

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Solution

The fourth proportional to 1,626.61, 2,439.92 and 761.53 is: 1,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.61 : 2,439.92 = 761.53 : x
  2. Step 2: Convert to fraction form
    1,626.61/2,439.92 = 761.53/x
  3. Step 3: Cross multiply
    1,626.61x = 2,439.92 × 761.53
  4. Step 4: Simplify right side
    1,626.61x = 1,858,068.47
  5. Step 5: Solve for x
    x = 1,858,068.47/1,626.61
  6. Step 6: Final answer
    x = 1,142.30

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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.