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Finding the Fourth Proportional to 686.95, 946.89 and 539.34

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Solution

The fourth proportional to 686.95, 946.89 and 539.34 is: 743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.95 : 946.89 = 539.34 : x
  2. Step 2: Convert to fraction form
    686.95/946.89 = 539.34/x
  3. Step 3: Cross multiply
    686.95x = 946.89 × 539.34
  4. Step 4: Simplify right side
    686.95x = 510,695.65
  5. Step 5: Solve for x
    x = 510,695.65/686.95
  6. Step 6: Final answer
    x = 743.42

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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.