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Finding the Fourth Proportional to 500.08, 745.64 and 499.40

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Solution

The fourth proportional to 500.08, 745.64 and 499.40 is: 744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.08 : 745.64 = 499.40 : x
  2. Step 2: Convert to fraction form
    500.08/745.64 = 499.40/x
  3. Step 3: Cross multiply
    500.08x = 745.64 × 499.40
  4. Step 4: Simplify right side
    500.08x = 372,372.62
  5. Step 5: Solve for x
    x = 372,372.62/500.08
  6. Step 6: Final answer
    x = 744.63

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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.