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Finding the Fourth Proportional to 604.62, 829.32 and 569.34

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Solution

The fourth proportional to 604.62, 829.32 and 569.34 is: 780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.62 : 829.32 = 569.34 : x
  2. Step 2: Convert to fraction form
    604.62/829.32 = 569.34/x
  3. Step 3: Cross multiply
    604.62x = 829.32 × 569.34
  4. Step 4: Simplify right side
    604.62x = 472,165.05
  5. Step 5: Solve for x
    x = 472,165.05/604.62
  6. Step 6: Final answer
    x = 780.93

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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.