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Finding the Fourth Proportional to 486, 729.46 and 303.74

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Solution

The fourth proportional to 486, 729.46 and 303.74 is: 455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486 : 729.46 = 303.74 : x
  2. Step 2: Convert to fraction form
    486/729.46 = 303.74/x
  3. Step 3: Cross multiply
    486x = 729.46 × 303.74
  4. Step 4: Simplify right side
    486x = 221,566.18
  5. Step 5: Solve for x
    x = 221,566.18/486
  6. Step 6: Final answer
    x = 455.90

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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.