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Finding the Fourth Proportional to 577.91, 859.44 and 559.68

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Solution

The fourth proportional to 577.91, 859.44 and 559.68 is: 832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.91 : 859.44 = 559.68 : x
  2. Step 2: Convert to fraction form
    577.91/859.44 = 559.68/x
  3. Step 3: Cross multiply
    577.91x = 859.44 × 559.68
  4. Step 4: Simplify right side
    577.91x = 481,011.38
  5. Step 5: Solve for x
    x = 481,011.38/577.91
  6. Step 6: Final answer
    x = 832.34

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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.