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Finding the Fourth Proportional to 686.25, 1,035.63 and 682.07

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Solution

The fourth proportional to 686.25, 1,035.63 and 682.07 is: 1,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.25 : 1,035.63 = 682.07 : x
  2. Step 2: Convert to fraction form
    686.25/1,035.63 = 682.07/x
  3. Step 3: Cross multiply
    686.25x = 1,035.63 × 682.07
  4. Step 4: Simplify right side
    686.25x = 706,366.98
  5. Step 5: Solve for x
    x = 706,366.98/686.25
  6. Step 6: Final answer
    x = 1,029.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.