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Finding the Fourth Proportional to 779.06, 1,170.12 and 686.72

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Solution

The fourth proportional to 779.06, 1,170.12 and 686.72 is: 1,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.06 : 1,170.12 = 686.72 : x
  2. Step 2: Convert to fraction form
    779.06/1,170.12 = 686.72/x
  3. Step 3: Cross multiply
    779.06x = 1,170.12 × 686.72
  4. Step 4: Simplify right side
    779.06x = 803,544.81
  5. Step 5: Solve for x
    x = 803,544.81/779.06
  6. Step 6: Final answer
    x = 1,031.43

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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.