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Finding the Fourth Proportional to 500.94, 747.57 and 446.27

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Solution

The fourth proportional to 500.94, 747.57 and 446.27 is: 665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.94 : 747.57 = 446.27 : x
  2. Step 2: Convert to fraction form
    500.94/747.57 = 446.27/x
  3. Step 3: Cross multiply
    500.94x = 747.57 × 446.27
  4. Step 4: Simplify right side
    500.94x = 333,614.33
  5. Step 5: Solve for x
    x = 333,614.33/500.94
  6. Step 6: Final answer
    x = 665.98

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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.