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Finding the Fourth Proportional to 687.06, 946.83 and 465.54

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Solution

The fourth proportional to 687.06, 946.83 and 465.54 is: 641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.06 : 946.83 = 465.54 : x
  2. Step 2: Convert to fraction form
    687.06/946.83 = 465.54/x
  3. Step 3: Cross multiply
    687.06x = 946.83 × 465.54
  4. Step 4: Simplify right side
    687.06x = 440,787.24
  5. Step 5: Solve for x
    x = 440,787.24/687.06
  6. Step 6: Final answer
    x = 641.56

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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.