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Finding the Fourth Proportional to 1,377.19, 2,065.78 and 511.03

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Solution

The fourth proportional to 1,377.19, 2,065.78 and 511.03 is: 766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.19 : 2,065.78 = 511.03 : x
  2. Step 2: Convert to fraction form
    1,377.19/2,065.78 = 511.03/x
  3. Step 3: Cross multiply
    1,377.19x = 2,065.78 × 511.03
  4. Step 4: Simplify right side
    1,377.19x = 1,055,665.72
  5. Step 5: Solve for x
    x = 1,055,665.72/1,377.19
  6. Step 6: Final answer
    x = 766.54

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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.