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Finding the Fourth Proportional to 687.78, 949.59 and 466.65

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Solution

The fourth proportional to 687.78, 949.59 and 466.65 is: 644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.78 : 949.59 = 466.65 : x
  2. Step 2: Convert to fraction form
    687.78/949.59 = 466.65/x
  3. Step 3: Cross multiply
    687.78x = 949.59 × 466.65
  4. Step 4: Simplify right side
    687.78x = 443,126.17
  5. Step 5: Solve for x
    x = 443,126.17/687.78
  6. Step 6: Final answer
    x = 644.28

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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.