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Finding the Fourth Proportional to 874.69, 1,308.09 and 777.76

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Solution

The fourth proportional to 874.69, 1,308.09 and 777.76 is: 1,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.69 : 1,308.09 = 777.76 : x
  2. Step 2: Convert to fraction form
    874.69/1,308.09 = 777.76/x
  3. Step 3: Cross multiply
    874.69x = 1,308.09 × 777.76
  4. Step 4: Simplify right side
    874.69x = 1,017,380.08
  5. Step 5: Solve for x
    x = 1,017,380.08/874.69
  6. Step 6: Final answer
    x = 1,163.13

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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.