Home / 1,384.14-2,076.21-691.66

Finding the Fourth Proportional to 1,384.14, 2,076.21 and 691.66

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Solution

The fourth proportional to 1,384.14, 2,076.21 and 691.66 is: 1,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.14 : 2,076.21 = 691.66 : x
  2. Step 2: Convert to fraction form
    1,384.14/2,076.21 = 691.66/x
  3. Step 3: Cross multiply
    1,384.14x = 2,076.21 × 691.66
  4. Step 4: Simplify right side
    1,384.14x = 1,436,031.41
  5. Step 5: Solve for x
    x = 1,436,031.41/1,384.14
  6. Step 6: Final answer
    x = 1,037.49

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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.