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Finding the Fourth Proportional to 687.81, 947.69 and 466.37

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Solution

The fourth proportional to 687.81, 947.69 and 466.37 is: 642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.81 : 947.69 = 466.37 : x
  2. Step 2: Convert to fraction form
    687.81/947.69 = 466.37/x
  3. Step 3: Cross multiply
    687.81x = 947.69 × 466.37
  4. Step 4: Simplify right side
    687.81x = 441,974.19
  5. Step 5: Solve for x
    x = 441,974.19/687.81
  6. Step 6: Final answer
    x = 642.58

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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.