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Finding the Fourth Proportional to 779.12, 1,073.76 and 684.64

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Solution

The fourth proportional to 779.12, 1,073.76 and 684.64 is: 943.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.12 : 1,073.76 = 684.64 : x
  2. Step 2: Convert to fraction form
    779.12/1,073.76 = 684.64/x
  3. Step 3: Cross multiply
    779.12x = 1,073.76 × 684.64
  4. Step 4: Simplify right side
    779.12x = 735,139.05
  5. Step 5: Solve for x
    x = 735,139.05/779.12
  6. Step 6: Final answer
    x = 943.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.