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Finding the Fourth Proportional to 849.45, 1,172.31 and 476.47

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Solution

The fourth proportional to 849.45, 1,172.31 and 476.47 is: 657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.45 : 1,172.31 = 476.47 : x
  2. Step 2: Convert to fraction form
    849.45/1,172.31 = 476.47/x
  3. Step 3: Cross multiply
    849.45x = 1,172.31 × 476.47
  4. Step 4: Simplify right side
    849.45x = 558,566.31
  5. Step 5: Solve for x
    x = 558,566.31/849.45
  6. Step 6: Final answer
    x = 657.56

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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.