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Finding the Fourth Proportional to 1,787.57, 2,681.78 and 746.99

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Solution

The fourth proportional to 1,787.57, 2,681.78 and 746.99 is: 1,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.57 : 2,681.78 = 746.99 : x
  2. Step 2: Convert to fraction form
    1,787.57/2,681.78 = 746.99/x
  3. Step 3: Cross multiply
    1,787.57x = 2,681.78 × 746.99
  4. Step 4: Simplify right side
    1,787.57x = 2,003,265.81
  5. Step 5: Solve for x
    x = 2,003,265.81/1,787.57
  6. Step 6: Final answer
    x = 1,120.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.