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Finding the Fourth Proportional to 601.48, 830.82 and 446.92

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Solution

The fourth proportional to 601.48, 830.82 and 446.92 is: 617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.48 : 830.82 = 446.92 : x
  2. Step 2: Convert to fraction form
    601.48/830.82 = 446.92/x
  3. Step 3: Cross multiply
    601.48x = 830.82 × 446.92
  4. Step 4: Simplify right side
    601.48x = 371,310.07
  5. Step 5: Solve for x
    x = 371,310.07/601.48
  6. Step 6: Final answer
    x = 617.33

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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.