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Finding the Fourth Proportional to 569.39, 849.62 and 534.56

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Solution

The fourth proportional to 569.39, 849.62 and 534.56 is: 797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.39 : 849.62 = 534.56 : x
  2. Step 2: Convert to fraction form
    569.39/849.62 = 534.56/x
  3. Step 3: Cross multiply
    569.39x = 849.62 × 534.56
  4. Step 4: Simplify right side
    569.39x = 454,165.95
  5. Step 5: Solve for x
    x = 454,165.95/569.39
  6. Step 6: Final answer
    x = 797.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.