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Finding the Fourth Proportional to 686.66, 1,030.42 and 684.14

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Solution

The fourth proportional to 686.66, 1,030.42 and 684.14 is: 1,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.66 : 1,030.42 = 684.14 : x
  2. Step 2: Convert to fraction form
    686.66/1,030.42 = 684.14/x
  3. Step 3: Cross multiply
    686.66x = 1,030.42 × 684.14
  4. Step 4: Simplify right side
    686.66x = 704,951.54
  5. Step 5: Solve for x
    x = 704,951.54/686.66
  6. Step 6: Final answer
    x = 1,026.64

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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.