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Finding the Fourth Proportional to 718.43, 991.35 and 419.67

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Solution

The fourth proportional to 718.43, 991.35 and 419.67 is: 579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.43 : 991.35 = 419.67 : x
  2. Step 2: Convert to fraction form
    718.43/991.35 = 419.67/x
  3. Step 3: Cross multiply
    718.43x = 991.35 × 419.67
  4. Step 4: Simplify right side
    718.43x = 416,039.85
  5. Step 5: Solve for x
    x = 416,039.85/718.43
  6. Step 6: Final answer
    x = 579.10

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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.