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Finding the Fourth Proportional to 840.83, 1,261.58 and 475.56

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Solution

The fourth proportional to 840.83, 1,261.58 and 475.56 is: 713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.83 : 1,261.58 = 475.56 : x
  2. Step 2: Convert to fraction form
    840.83/1,261.58 = 475.56/x
  3. Step 3: Cross multiply
    840.83x = 1,261.58 × 475.56
  4. Step 4: Simplify right side
    840.83x = 599,954.61
  5. Step 5: Solve for x
    x = 599,954.61/840.83
  6. Step 6: Final answer
    x = 713.53

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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.