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Finding the Fourth Proportional to 574.73, 858.48 and 565.01

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Solution

The fourth proportional to 574.73, 858.48 and 565.01 is: 843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.73 : 858.48 = 565.01 : x
  2. Step 2: Convert to fraction form
    574.73/858.48 = 565.01/x
  3. Step 3: Cross multiply
    574.73x = 858.48 × 565.01
  4. Step 4: Simplify right side
    574.73x = 485,045.49
  5. Step 5: Solve for x
    x = 485,045.49/574.73
  6. Step 6: Final answer
    x = 843.96

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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.