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Finding the Fourth Proportional to 494.37, 681.87 and 317.18

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Solution

The fourth proportional to 494.37, 681.87 and 317.18 is: 437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.37 : 681.87 = 317.18 : x
  2. Step 2: Convert to fraction form
    494.37/681.87 = 317.18/x
  3. Step 3: Cross multiply
    494.37x = 681.87 × 317.18
  4. Step 4: Simplify right side
    494.37x = 216,272.12
  5. Step 5: Solve for x
    x = 216,272.12/494.37
  6. Step 6: Final answer
    x = 437.47

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Why These Related Problems?

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