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Finding the Fourth Proportional to 494.19, 681.90 and 317.19

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Solution

The fourth proportional to 494.19, 681.90 and 317.19 is: 437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.19 : 681.90 = 317.19 : x
  2. Step 2: Convert to fraction form
    494.19/681.90 = 317.19/x
  3. Step 3: Cross multiply
    494.19x = 681.90 × 317.19
  4. Step 4: Simplify right side
    494.19x = 216,291.86
  5. Step 5: Solve for x
    x = 216,291.86/494.19
  6. Step 6: Final answer
    x = 437.67

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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.