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Finding the Fourth Proportional to 849.02, 1,171.54 and 475.98

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Solution

The fourth proportional to 849.02, 1,171.54 and 475.98 is: 656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.02 : 1,171.54 = 475.98 : x
  2. Step 2: Convert to fraction form
    849.02/1,171.54 = 475.98/x
  3. Step 3: Cross multiply
    849.02x = 1,171.54 × 475.98
  4. Step 4: Simplify right side
    849.02x = 557,629.61
  5. Step 5: Solve for x
    x = 557,629.61/849.02
  6. Step 6: Final answer
    x = 656.79

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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.