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Finding the Fourth Proportional to 461.34, 690.59 and 395.73

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Solution

The fourth proportional to 461.34, 690.59 and 395.73 is: 592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.34 : 690.59 = 395.73 : x
  2. Step 2: Convert to fraction form
    461.34/690.59 = 395.73/x
  3. Step 3: Cross multiply
    461.34x = 690.59 × 395.73
  4. Step 4: Simplify right side
    461.34x = 273,288.17
  5. Step 5: Solve for x
    x = 273,288.17/461.34
  6. Step 6: Final answer
    x = 592.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.