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Finding the Fourth Proportional to 498.59, 687.07 and 419.91

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Solution

The fourth proportional to 498.59, 687.07 and 419.91 is: 578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.59 : 687.07 = 419.91 : x
  2. Step 2: Convert to fraction form
    498.59/687.07 = 419.91/x
  3. Step 3: Cross multiply
    498.59x = 687.07 × 419.91
  4. Step 4: Simplify right side
    498.59x = 288,507.56
  5. Step 5: Solve for x
    x = 288,507.56/498.59
  6. Step 6: Final answer
    x = 578.65

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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.