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Finding the Fourth Proportional to 498.03, 686.01 and 419.26

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Solution

The fourth proportional to 498.03, 686.01 and 419.26 is: 577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.03 : 686.01 = 419.26 : x
  2. Step 2: Convert to fraction form
    498.03/686.01 = 419.26/x
  3. Step 3: Cross multiply
    498.03x = 686.01 × 419.26
  4. Step 4: Simplify right side
    498.03x = 287,616.55
  5. Step 5: Solve for x
    x = 287,616.55/498.03
  6. Step 6: Final answer
    x = 577.51

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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.