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Finding the Fourth Proportional to 498.15, 686.82 and 428.07

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Solution

The fourth proportional to 498.15, 686.82 and 428.07 is: 590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.15 : 686.82 = 428.07 : x
  2. Step 2: Convert to fraction form
    498.15/686.82 = 428.07/x
  3. Step 3: Cross multiply
    498.15x = 686.82 × 428.07
  4. Step 4: Simplify right side
    498.15x = 294,007.04
  5. Step 5: Solve for x
    x = 294,007.04/498.15
  6. Step 6: Final answer
    x = 590.20

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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.