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Finding the Fourth Proportional to 496.38, 745.12 and 313.88

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Solution

The fourth proportional to 496.38, 745.12 and 313.88 is: 471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.38 : 745.12 = 313.88 : x
  2. Step 2: Convert to fraction form
    496.38/745.12 = 313.88/x
  3. Step 3: Cross multiply
    496.38x = 745.12 × 313.88
  4. Step 4: Simplify right side
    496.38x = 233,875.82
  5. Step 5: Solve for x
    x = 233,875.82/496.38
  6. Step 6: Final answer
    x = 471.16

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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.