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Finding the Fourth Proportional to 491.32, 735.99 and 317.38

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Solution

The fourth proportional to 491.32, 735.99 and 317.38 is: 475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.32 : 735.99 = 317.38 : x
  2. Step 2: Convert to fraction form
    491.32/735.99 = 317.38/x
  3. Step 3: Cross multiply
    491.32x = 735.99 × 317.38
  4. Step 4: Simplify right side
    491.32x = 233,584.83
  5. Step 5: Solve for x
    x = 233,584.83/491.32
  6. Step 6: Final answer
    x = 475.43

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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.