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Finding the Fourth Proportional to 687.92, 948.95 and 451.91

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Solution

The fourth proportional to 687.92, 948.95 and 451.91 is: 623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.92 : 948.95 = 451.91 : x
  2. Step 2: Convert to fraction form
    687.92/948.95 = 451.91/x
  3. Step 3: Cross multiply
    687.92x = 948.95 × 451.91
  4. Step 4: Simplify right side
    687.92x = 428,832.99
  5. Step 5: Solve for x
    x = 428,832.99/687.92
  6. Step 6: Final answer
    x = 623.38

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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.