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Finding the Fourth Proportional to 585, 810.35 and 571.56

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Solution

The fourth proportional to 585, 810.35 and 571.56 is: 791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    585 : 810.35 = 571.56 : x
  2. Step 2: Convert to fraction form
    585/810.35 = 571.56/x
  3. Step 3: Cross multiply
    585x = 810.35 × 571.56
  4. Step 4: Simplify right side
    585x = 463,163.65
  5. Step 5: Solve for x
    x = 463,163.65/585
  6. Step 6: Final answer
    x = 791.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.