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Finding the Fourth Proportional to 498.35, 686.44 and 419.57

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Solution

The fourth proportional to 498.35, 686.44 and 419.57 is: 577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.35 : 686.44 = 419.57 : x
  2. Step 2: Convert to fraction form
    498.35/686.44 = 419.57/x
  3. Step 3: Cross multiply
    498.35x = 686.44 × 419.57
  4. Step 4: Simplify right side
    498.35x = 288,009.63
  5. Step 5: Solve for x
    x = 288,009.63/498.35
  6. Step 6: Final answer
    x = 577.93

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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.