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Finding the Fourth Proportional to 499.37, 747.23 and 317.12

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Solution

The fourth proportional to 499.37, 747.23 and 317.12 is: 474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.37 : 747.23 = 317.12 : x
  2. Step 2: Convert to fraction form
    499.37/747.23 = 317.12/x
  3. Step 3: Cross multiply
    499.37x = 747.23 × 317.12
  4. Step 4: Simplify right side
    499.37x = 236,956.26
  5. Step 5: Solve for x
    x = 236,956.26/499.37
  6. Step 6: Final answer
    x = 474.52

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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.