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Finding the Fourth Proportional to 783.80, 1,169.59 and 778.40

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Solution

The fourth proportional to 783.80, 1,169.59 and 778.40 is: 1,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.80 : 1,169.59 = 778.40 : x
  2. Step 2: Convert to fraction form
    783.80/1,169.59 = 778.40/x
  3. Step 3: Cross multiply
    783.80x = 1,169.59 × 778.40
  4. Step 4: Simplify right side
    783.80x = 910,408.86
  5. Step 5: Solve for x
    x = 910,408.86/783.80
  6. Step 6: Final answer
    x = 1,161.53

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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.