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Finding the Fourth Proportional to 1,318.69, 1,977.42 and 771.04

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Solution

The fourth proportional to 1,318.69, 1,977.42 and 771.04 is: 1,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.69 : 1,977.42 = 771.04 : x
  2. Step 2: Convert to fraction form
    1,318.69/1,977.42 = 771.04/x
  3. Step 3: Cross multiply
    1,318.69x = 1,977.42 × 771.04
  4. Step 4: Simplify right side
    1,318.69x = 1,524,669.92
  5. Step 5: Solve for x
    x = 1,524,669.92/1,318.69
  6. Step 6: Final answer
    x = 1,156.20

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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.