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Finding the Fourth Proportional to 486.27, 728.93 and 303.28

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Solution

The fourth proportional to 486.27, 728.93 and 303.28 is: 454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.27 : 728.93 = 303.28 : x
  2. Step 2: Convert to fraction form
    486.27/728.93 = 303.28/x
  3. Step 3: Cross multiply
    486.27x = 728.93 × 303.28
  4. Step 4: Simplify right side
    486.27x = 221,068.83
  5. Step 5: Solve for x
    x = 221,068.83/486.27
  6. Step 6: Final answer
    x = 454.62

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Why These Related Problems?

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