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Finding the Fourth Proportional to 686.30, 1,024.46 and 635.54

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Solution

The fourth proportional to 686.30, 1,024.46 and 635.54 is: 948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.30 : 1,024.46 = 635.54 : x
  2. Step 2: Convert to fraction form
    686.30/1,024.46 = 635.54/x
  3. Step 3: Cross multiply
    686.30x = 1,024.46 × 635.54
  4. Step 4: Simplify right side
    686.30x = 651,089.46
  5. Step 5: Solve for x
    x = 651,089.46/686.30
  6. Step 6: Final answer
    x = 948.69

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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.