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Finding the Fourth Proportional to 667.13, 919.18 and 498.38

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Solution

The fourth proportional to 667.13, 919.18 and 498.38 is: 686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.13 : 919.18 = 498.38 : x
  2. Step 2: Convert to fraction form
    667.13/919.18 = 498.38/x
  3. Step 3: Cross multiply
    667.13x = 919.18 × 498.38
  4. Step 4: Simplify right side
    667.13x = 458,093.84
  5. Step 5: Solve for x
    x = 458,093.84/667.13
  6. Step 6: Final answer
    x = 686.67

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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.