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Finding the Fourth Proportional to 687.82, 948.09 and 466.69

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Solution

The fourth proportional to 687.82, 948.09 and 466.69 is: 643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.82 : 948.09 = 466.69 : x
  2. Step 2: Convert to fraction form
    687.82/948.09 = 466.69/x
  3. Step 3: Cross multiply
    687.82x = 948.09 × 466.69
  4. Step 4: Simplify right side
    687.82x = 442,464.12
  5. Step 5: Solve for x
    x = 442,464.12/687.82
  6. Step 6: Final answer
    x = 643.28

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Double scale
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1.5x scale

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.