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Finding the Fourth Proportional to 685.87, 946.23 and 437.15

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Solution

The fourth proportional to 685.87, 946.23 and 437.15 is: 603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.87 : 946.23 = 437.15 : x
  2. Step 2: Convert to fraction form
    685.87/946.23 = 437.15/x
  3. Step 3: Cross multiply
    685.87x = 946.23 × 437.15
  4. Step 4: Simplify right side
    685.87x = 413,644.44
  5. Step 5: Solve for x
    x = 413,644.44/685.87
  6. Step 6: Final answer
    x = 603.09

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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.