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Finding the Fourth Proportional to 687.33, 948.78 and 466.38

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Solution

The fourth proportional to 687.33, 948.78 and 466.38 is: 643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.33 : 948.78 = 466.38 : x
  2. Step 2: Convert to fraction form
    687.33/948.78 = 466.38/x
  3. Step 3: Cross multiply
    687.33x = 948.78 × 466.38
  4. Step 4: Simplify right side
    687.33x = 442,492.02
  5. Step 5: Solve for x
    x = 442,492.02/687.33
  6. Step 6: Final answer
    x = 643.78

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Half scale
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Double scale
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Similar ratio
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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.