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Finding the Fourth Proportional to 500.62, 746.30 and 492.73

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Solution

The fourth proportional to 500.62, 746.30 and 492.73 is: 734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.62 : 746.30 = 492.73 : x
  2. Step 2: Convert to fraction form
    500.62/746.30 = 492.73/x
  3. Step 3: Cross multiply
    500.62x = 746.30 × 492.73
  4. Step 4: Simplify right side
    500.62x = 367,725.63
  5. Step 5: Solve for x
    x = 367,725.63/500.62
  6. Step 6: Final answer
    x = 734.54

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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.