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Finding the Fourth Proportional to 577.09, 864.41 and 359.60

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Solution

The fourth proportional to 577.09, 864.41 and 359.60 is: 538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.09 : 864.41 = 359.60 : x
  2. Step 2: Convert to fraction form
    577.09/864.41 = 359.60/x
  3. Step 3: Cross multiply
    577.09x = 864.41 × 359.60
  4. Step 4: Simplify right side
    577.09x = 310,841.84
  5. Step 5: Solve for x
    x = 310,841.84/577.09
  6. Step 6: Final answer
    x = 538.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.