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Finding the Fourth Proportional to 523.44, 785.04 and 498.72

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Solution

The fourth proportional to 523.44, 785.04 and 498.72 is: 747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.44 : 785.04 = 498.72 : x
  2. Step 2: Convert to fraction form
    523.44/785.04 = 498.72/x
  3. Step 3: Cross multiply
    523.44x = 785.04 × 498.72
  4. Step 4: Simplify right side
    523.44x = 391,515.15
  5. Step 5: Solve for x
    x = 391,515.15/523.44
  6. Step 6: Final answer
    x = 747.97

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Why These Related Problems?

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