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Finding the Fourth Proportional to 686.45, 946.21 and 538.83

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Solution

The fourth proportional to 686.45, 946.21 and 538.83 is: 742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.45 : 946.21 = 538.83 : x
  2. Step 2: Convert to fraction form
    686.45/946.21 = 538.83/x
  3. Step 3: Cross multiply
    686.45x = 946.21 × 538.83
  4. Step 4: Simplify right side
    686.45x = 509,846.33
  5. Step 5: Solve for x
    x = 509,846.33/686.45
  6. Step 6: Final answer
    x = 742.73

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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.