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Finding the Fourth Proportional to 778.37, 1,161.89 and 647.15

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Solution

The fourth proportional to 778.37, 1,161.89 and 647.15 is: 966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.37 : 1,161.89 = 647.15 : x
  2. Step 2: Convert to fraction form
    778.37/1,161.89 = 647.15/x
  3. Step 3: Cross multiply
    778.37x = 1,161.89 × 647.15
  4. Step 4: Simplify right side
    778.37x = 751,908.07
  5. Step 5: Solve for x
    x = 751,908.07/778.37
  6. Step 6: Final answer
    x = 966.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.