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Finding the Fourth Proportional to 610.98, 843.12 and 345.42

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Solution

The fourth proportional to 610.98, 843.12 and 345.42 is: 476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.98 : 843.12 = 345.42 : x
  2. Step 2: Convert to fraction form
    610.98/843.12 = 345.42/x
  3. Step 3: Cross multiply
    610.98x = 843.12 × 345.42
  4. Step 4: Simplify right side
    610.98x = 291,230.51
  5. Step 5: Solve for x
    x = 291,230.51/610.98
  6. Step 6: Final answer
    x = 476.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.