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Finding the Fourth Proportional to 839.53, 1,261.11 and 566.15

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Solution

The fourth proportional to 839.53, 1,261.11 and 566.15 is: 850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.53 : 1,261.11 = 566.15 : x
  2. Step 2: Convert to fraction form
    839.53/1,261.11 = 566.15/x
  3. Step 3: Cross multiply
    839.53x = 1,261.11 × 566.15
  4. Step 4: Simplify right side
    839.53x = 713,980.58
  5. Step 5: Solve for x
    x = 713,980.58/839.53
  6. Step 6: Final answer
    x = 850.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.