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Finding the Fourth Proportional to 571.08, 849.71 and 569.08

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Solution

The fourth proportional to 571.08, 849.71 and 569.08 is: 846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.08 : 849.71 = 569.08 : x
  2. Step 2: Convert to fraction form
    571.08/849.71 = 569.08/x
  3. Step 3: Cross multiply
    571.08x = 849.71 × 569.08
  4. Step 4: Simplify right side
    571.08x = 483,552.97
  5. Step 5: Solve for x
    x = 483,552.97/571.08
  6. Step 6: Final answer
    x = 846.73

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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.