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Finding the Fourth Proportional to 577.58, 864.61 and 394.45

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Solution

The fourth proportional to 577.58, 864.61 and 394.45 is: 590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.58 : 864.61 = 394.45 : x
  2. Step 2: Convert to fraction form
    577.58/864.61 = 394.45/x
  3. Step 3: Cross multiply
    577.58x = 864.61 × 394.45
  4. Step 4: Simplify right side
    577.58x = 341,042.27
  5. Step 5: Solve for x
    x = 341,042.27/577.58
  6. Step 6: Final answer
    x = 590.47

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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.