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Finding the Fourth Proportional to 1,921.70, 2,880.82 and 688.82

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Solution

The fourth proportional to 1,921.70, 2,880.82 and 688.82 is: 1,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.70 : 2,880.82 = 688.82 : x
  2. Step 2: Convert to fraction form
    1,921.70/2,880.82 = 688.82/x
  3. Step 3: Cross multiply
    1,921.70x = 2,880.82 × 688.82
  4. Step 4: Simplify right side
    1,921.70x = 1,984,363.27
  5. Step 5: Solve for x
    x = 1,984,363.27/1,921.70
  6. Step 6: Final answer
    x = 1,032.61

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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.