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Finding the Fourth Proportional to 776.18, 1,168.86 and 561.26

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Solution

The fourth proportional to 776.18, 1,168.86 and 561.26 is: 845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.18 : 1,168.86 = 561.26 : x
  2. Step 2: Convert to fraction form
    776.18/1,168.86 = 561.26/x
  3. Step 3: Cross multiply
    776.18x = 1,168.86 × 561.26
  4. Step 4: Simplify right side
    776.18x = 656,034.36
  5. Step 5: Solve for x
    x = 656,034.36/776.18
  6. Step 6: Final answer
    x = 845.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.