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Finding the Fourth Proportional to 1,377.14, 2,065.98 and 511.52

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Solution

The fourth proportional to 1,377.14, 2,065.98 and 511.52 is: 767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.14 : 2,065.98 = 511.52 : x
  2. Step 2: Convert to fraction form
    1,377.14/2,065.98 = 511.52/x
  3. Step 3: Cross multiply
    1,377.14x = 2,065.98 × 511.52
  4. Step 4: Simplify right side
    1,377.14x = 1,056,790.09
  5. Step 5: Solve for x
    x = 1,056,790.09/1,377.14
  6. Step 6: Final answer
    x = 767.38

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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.