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Finding the Fourth Proportional to 499.86, 746.26 and 383.66

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Solution

The fourth proportional to 499.86, 746.26 and 383.66 is: 572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.86 : 746.26 = 383.66 : x
  2. Step 2: Convert to fraction form
    499.86/746.26 = 383.66/x
  3. Step 3: Cross multiply
    499.86x = 746.26 × 383.66
  4. Step 4: Simplify right side
    499.86x = 286,310.11
  5. Step 5: Solve for x
    x = 286,310.11/499.86
  6. Step 6: Final answer
    x = 572.78

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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.