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Finding the Fourth Proportional to 783.12, 1,168.80 and 679.80

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Solution

The fourth proportional to 783.12, 1,168.80 and 679.80 is: 1,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.12 : 1,168.80 = 679.80 : x
  2. Step 2: Convert to fraction form
    783.12/1,168.80 = 679.80/x
  3. Step 3: Cross multiply
    783.12x = 1,168.80 × 679.80
  4. Step 4: Simplify right side
    783.12x = 794,550.24
  5. Step 5: Solve for x
    x = 794,550.24/783.12
  6. Step 6: Final answer
    x = 1,014.60

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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.