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Finding the Fourth Proportional to 849.82, 1,173.46 and 631.12

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Solution

The fourth proportional to 849.82, 1,173.46 and 631.12 is: 871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.82 : 1,173.46 = 631.12 : x
  2. Step 2: Convert to fraction form
    849.82/1,173.46 = 631.12/x
  3. Step 3: Cross multiply
    849.82x = 1,173.46 × 631.12
  4. Step 4: Simplify right side
    849.82x = 740,594.08
  5. Step 5: Solve for x
    x = 740,594.08/849.82
  6. Step 6: Final answer
    x = 871.47

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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.