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Finding the Fourth Proportional to 500.76, 746.43 and 499.95

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Solution

The fourth proportional to 500.76, 746.43 and 499.95 is: 745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.76 : 746.43 = 499.95 : x
  2. Step 2: Convert to fraction form
    500.76/746.43 = 499.95/x
  3. Step 3: Cross multiply
    500.76x = 746.43 × 499.95
  4. Step 4: Simplify right side
    500.76x = 373,177.68
  5. Step 5: Solve for x
    x = 373,177.68/500.76
  6. Step 6: Final answer
    x = 745.22

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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.