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Finding the Fourth Proportional to 499.64, 747.64 and 294.31

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Solution

The fourth proportional to 499.64, 747.64 and 294.31 is: 440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.64 : 747.64 = 294.31 : x
  2. Step 2: Convert to fraction form
    499.64/747.64 = 294.31/x
  3. Step 3: Cross multiply
    499.64x = 747.64 × 294.31
  4. Step 4: Simplify right side
    499.64x = 220,032.72
  5. Step 5: Solve for x
    x = 220,032.72/499.64
  6. Step 6: Final answer
    x = 440.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.