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Finding the Fourth Proportional to 569.24, 849.13 and 559.84

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Solution

The fourth proportional to 569.24, 849.13 and 559.84 is: 835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.24 : 849.13 = 559.84 : x
  2. Step 2: Convert to fraction form
    569.24/849.13 = 559.84/x
  3. Step 3: Cross multiply
    569.24x = 849.13 × 559.84
  4. Step 4: Simplify right side
    569.24x = 475,376.94
  5. Step 5: Solve for x
    x = 475,376.94/569.24
  6. Step 6: Final answer
    x = 835.11

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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.