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Finding the Fourth Proportional to 485.50, 728.71 and 303.24

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Solution

The fourth proportional to 485.50, 728.71 and 303.24 is: 455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.50 : 728.71 = 303.24 : x
  2. Step 2: Convert to fraction form
    485.50/728.71 = 303.24/x
  3. Step 3: Cross multiply
    485.50x = 728.71 × 303.24
  4. Step 4: Simplify right side
    485.50x = 220,974.02
  5. Step 5: Solve for x
    x = 220,974.02/485.50
  6. Step 6: Final answer
    x = 455.15

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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.