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Finding the Fourth Proportional to 610.83, 842.85 and 345.29

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Solution

The fourth proportional to 610.83, 842.85 and 345.29 is: 476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.83 : 842.85 = 345.29 : x
  2. Step 2: Convert to fraction form
    610.83/842.85 = 345.29/x
  3. Step 3: Cross multiply
    610.83x = 842.85 × 345.29
  4. Step 4: Simplify right side
    610.83x = 291,023.46
  5. Step 5: Solve for x
    x = 291,023.46/610.83
  6. Step 6: Final answer
    x = 476.44

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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.