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Finding the Fourth Proportional to 866.71, 1,196.21 and 493.79

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Solution

The fourth proportional to 866.71, 1,196.21 and 493.79 is: 681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.71 : 1,196.21 = 493.79 : x
  2. Step 2: Convert to fraction form
    866.71/1,196.21 = 493.79/x
  3. Step 3: Cross multiply
    866.71x = 1,196.21 × 493.79
  4. Step 4: Simplify right side
    866.71x = 590,680.76
  5. Step 5: Solve for x
    x = 590,680.76/866.71
  6. Step 6: Final answer
    x = 681.52

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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.