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Finding the Fourth Proportional to 461.98, 693.78 and 393.94

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Solution

The fourth proportional to 461.98, 693.78 and 393.94 is: 591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.98 : 693.78 = 393.94 : x
  2. Step 2: Convert to fraction form
    461.98/693.78 = 393.94/x
  3. Step 3: Cross multiply
    461.98x = 693.78 × 393.94
  4. Step 4: Simplify right side
    461.98x = 273,307.69
  5. Step 5: Solve for x
    x = 273,307.69/461.98
  6. Step 6: Final answer
    x = 591.60

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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.