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Finding the Fourth Proportional to 610.78, 842.83 and 345.27

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Solution

The fourth proportional to 610.78, 842.83 and 345.27 is: 476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.78 : 842.83 = 345.27 : x
  2. Step 2: Convert to fraction form
    610.78/842.83 = 345.27/x
  3. Step 3: Cross multiply
    610.78x = 842.83 × 345.27
  4. Step 4: Simplify right side
    610.78x = 291,003.91
  5. Step 5: Solve for x
    x = 291,003.91/610.78
  6. Step 6: Final answer
    x = 476.45

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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.