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Finding the Fourth Proportional to 1,384.17, 2,076.27 and 691.71

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Solution

The fourth proportional to 1,384.17, 2,076.27 and 691.71 is: 1,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.17 : 2,076.27 = 691.71 : x
  2. Step 2: Convert to fraction form
    1,384.17/2,076.27 = 691.71/x
  3. Step 3: Cross multiply
    1,384.17x = 2,076.27 × 691.71
  4. Step 4: Simplify right side
    1,384.17x = 1,436,176.72
  5. Step 5: Solve for x
    x = 1,436,176.72/1,384.17
  6. Step 6: Final answer
    x = 1,037.57

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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.