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Finding the Fourth Proportional to 1,018.78, 1,527.13 and 774.79

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Solution

The fourth proportional to 1,018.78, 1,527.13 and 774.79 is: 1,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.78 : 1,527.13 = 774.79 : x
  2. Step 2: Convert to fraction form
    1,018.78/1,527.13 = 774.79/x
  3. Step 3: Cross multiply
    1,018.78x = 1,527.13 × 774.79
  4. Step 4: Simplify right side
    1,018.78x = 1,183,205.05
  5. Step 5: Solve for x
    x = 1,183,205.05/1,018.78
  6. Step 6: Final answer
    x = 1,161.39

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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.