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Finding the Fourth Proportional to 687.94, 949.41 and 451.90

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Solution

The fourth proportional to 687.94, 949.41 and 451.90 is: 623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.94 : 949.41 = 451.90 : x
  2. Step 2: Convert to fraction form
    687.94/949.41 = 451.90/x
  3. Step 3: Cross multiply
    687.94x = 949.41 × 451.90
  4. Step 4: Simplify right side
    687.94x = 429,038.38
  5. Step 5: Solve for x
    x = 429,038.38/687.94
  6. Step 6: Final answer
    x = 623.66

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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.