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Finding the Fourth Proportional to 778.32, 1,169.91 and 671.40

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Solution

The fourth proportional to 778.32, 1,169.91 and 671.40 is: 1,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.32 : 1,169.91 = 671.40 : x
  2. Step 2: Convert to fraction form
    778.32/1,169.91 = 671.40/x
  3. Step 3: Cross multiply
    778.32x = 1,169.91 × 671.40
  4. Step 4: Simplify right side
    778.32x = 785,477.57
  5. Step 5: Solve for x
    x = 785,477.57/778.32
  6. Step 6: Final answer
    x = 1,009.20

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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.