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Finding the Fourth Proportional to 687.94, 948.05 and 491.11

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Solution

The fourth proportional to 687.94, 948.05 and 491.11 is: 676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.94 : 948.05 = 491.11 : x
  2. Step 2: Convert to fraction form
    687.94/948.05 = 491.11/x
  3. Step 3: Cross multiply
    687.94x = 948.05 × 491.11
  4. Step 4: Simplify right side
    687.94x = 465,594.38
  5. Step 5: Solve for x
    x = 465,594.38/687.94
  6. Step 6: Final answer
    x = 676.80

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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.