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Finding the Fourth Proportional to 496.85, 685.75 and 317.28

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Solution

The fourth proportional to 496.85, 685.75 and 317.28 is: 437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.85 : 685.75 = 317.28 : x
  2. Step 2: Convert to fraction form
    496.85/685.75 = 317.28/x
  3. Step 3: Cross multiply
    496.85x = 685.75 × 317.28
  4. Step 4: Simplify right side
    496.85x = 217,574.76
  5. Step 5: Solve for x
    x = 217,574.76/496.85
  6. Step 6: Final answer
    x = 437.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.