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Finding the Fourth Proportional to 577.05, 859.47 and 574.26

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Solution

The fourth proportional to 577.05, 859.47 and 574.26 is: 855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.05 : 859.47 = 574.26 : x
  2. Step 2: Convert to fraction form
    577.05/859.47 = 574.26/x
  3. Step 3: Cross multiply
    577.05x = 859.47 × 574.26
  4. Step 4: Simplify right side
    577.05x = 493,559.24
  5. Step 5: Solve for x
    x = 493,559.24/577.05
  6. Step 6: Final answer
    x = 855.31

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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.