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Finding the Fourth Proportional to 496.08, 747.53 and 411.32

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Solution

The fourth proportional to 496.08, 747.53 and 411.32 is: 619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.08 : 747.53 = 411.32 : x
  2. Step 2: Convert to fraction form
    496.08/747.53 = 411.32/x
  3. Step 3: Cross multiply
    496.08x = 747.53 × 411.32
  4. Step 4: Simplify right side
    496.08x = 307,475.39
  5. Step 5: Solve for x
    x = 307,475.39/496.08
  6. Step 6: Final answer
    x = 619.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.