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Finding the Fourth Proportional to 849.53, 1,172.32 and 476.50

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Solution

The fourth proportional to 849.53, 1,172.32 and 476.50 is: 657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.53 : 1,172.32 = 476.50 : x
  2. Step 2: Convert to fraction form
    849.53/1,172.32 = 476.50/x
  3. Step 3: Cross multiply
    849.53x = 1,172.32 × 476.50
  4. Step 4: Simplify right side
    849.53x = 558,610.48
  5. Step 5: Solve for x
    x = 558,610.48/849.53
  6. Step 6: Final answer
    x = 657.55

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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.