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Finding the Fourth Proportional to 1,787.64, 2,682.32 and 691.71

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Solution

The fourth proportional to 1,787.64, 2,682.32 and 691.71 is: 1,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.64 : 2,682.32 = 691.71 : x
  2. Step 2: Convert to fraction form
    1,787.64/2,682.32 = 691.71/x
  3. Step 3: Cross multiply
    1,787.64x = 2,682.32 × 691.71
  4. Step 4: Simplify right side
    1,787.64x = 1,855,384.11
  5. Step 5: Solve for x
    x = 1,855,384.11/1,787.64
  6. Step 6: Final answer
    x = 1,037.90

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1.5x scale

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.