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Finding the Fourth Proportional to 499.19, 689.08 and 428.97

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Solution

The fourth proportional to 499.19, 689.08 and 428.97 is: 592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.19 : 689.08 = 428.97 : x
  2. Step 2: Convert to fraction form
    499.19/689.08 = 428.97/x
  3. Step 3: Cross multiply
    499.19x = 689.08 × 428.97
  4. Step 4: Simplify right side
    499.19x = 295,594.65
  5. Step 5: Solve for x
    x = 295,594.65/499.19
  6. Step 6: Final answer
    x = 592.15

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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.