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Finding the Fourth Proportional to 685.50, 946.41 and 537.78

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Solution

The fourth proportional to 685.50, 946.41 and 537.78 is: 742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.50 : 946.41 = 537.78 : x
  2. Step 2: Convert to fraction form
    685.50/946.41 = 537.78/x
  3. Step 3: Cross multiply
    685.50x = 946.41 × 537.78
  4. Step 4: Simplify right side
    685.50x = 508,960.37
  5. Step 5: Solve for x
    x = 508,960.37/685.50
  6. Step 6: Final answer
    x = 742.47

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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.