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Finding the Fourth Proportional to 500.52, 690.82 and 345.32

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Solution

The fourth proportional to 500.52, 690.82 and 345.32 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.52 : 690.82 = 345.32 : x
  2. Step 2: Convert to fraction form
    500.52/690.82 = 345.32/x
  3. Step 3: Cross multiply
    500.52x = 690.82 × 345.32
  4. Step 4: Simplify right side
    500.52x = 238,553.96
  5. Step 5: Solve for x
    x = 238,553.96/500.52
  6. Step 6: Final answer
    x = 476.61

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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.