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Finding the Fourth Proportional to 500.20, 743.55 and 485.44

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Solution

The fourth proportional to 500.20, 743.55 and 485.44 is: 721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.20 : 743.55 = 485.44 : x
  2. Step 2: Convert to fraction form
    500.20/743.55 = 485.44/x
  3. Step 3: Cross multiply
    500.20x = 743.55 × 485.44
  4. Step 4: Simplify right side
    500.20x = 360,945.19
  5. Step 5: Solve for x
    x = 360,945.19/500.20
  6. Step 6: Final answer
    x = 721.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.