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Finding the Fourth Proportional to 604.92, 829.68 and 559.56

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Solution

The fourth proportional to 604.92, 829.68 and 559.56 is: 767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.92 : 829.68 = 559.56 : x
  2. Step 2: Convert to fraction form
    604.92/829.68 = 559.56/x
  3. Step 3: Cross multiply
    604.92x = 829.68 × 559.56
  4. Step 4: Simplify right side
    604.92x = 464,255.74
  5. Step 5: Solve for x
    x = 464,255.74/604.92
  6. Step 6: Final answer
    x = 767.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.