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Finding the Fourth Proportional to 866.92, 1,196.36 and 493.89

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Solution

The fourth proportional to 866.92, 1,196.36 and 493.89 is: 681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.92 : 1,196.36 = 493.89 : x
  2. Step 2: Convert to fraction form
    866.92/1,196.36 = 493.89/x
  3. Step 3: Cross multiply
    866.92x = 1,196.36 × 493.89
  4. Step 4: Simplify right side
    866.92x = 590,870.24
  5. Step 5: Solve for x
    x = 590,870.24/866.92
  6. Step 6: Final answer
    x = 681.57

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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.