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Finding the Fourth Proportional to 631.14, 871.16 and 491.06

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Solution

The fourth proportional to 631.14, 871.16 and 491.06 is: 677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.14 : 871.16 = 491.06 : x
  2. Step 2: Convert to fraction form
    631.14/871.16 = 491.06/x
  3. Step 3: Cross multiply
    631.14x = 871.16 × 491.06
  4. Step 4: Simplify right side
    631.14x = 427,785.02
  5. Step 5: Solve for x
    x = 427,785.02/631.14
  6. Step 6: Final answer
    x = 677.80

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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.