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Finding the Fourth Proportional to 866.49, 1,196.74 and 631.48

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Solution

The fourth proportional to 866.49, 1,196.74 and 631.48 is: 872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.49 : 1,196.74 = 631.48 : x
  2. Step 2: Convert to fraction form
    866.49/1,196.74 = 631.48/x
  3. Step 3: Cross multiply
    866.49x = 1,196.74 × 631.48
  4. Step 4: Simplify right side
    866.49x = 755,717.38
  5. Step 5: Solve for x
    x = 755,717.38/866.49
  6. Step 6: Final answer
    x = 872.16

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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.