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Finding the Fourth Proportional to 577.59, 867.23 and 334.59

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Solution

The fourth proportional to 577.59, 867.23 and 334.59 is: 502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.59 : 867.23 = 334.59 : x
  2. Step 2: Convert to fraction form
    577.59/867.23 = 334.59/x
  3. Step 3: Cross multiply
    577.59x = 867.23 × 334.59
  4. Step 4: Simplify right side
    577.59x = 290,164.81
  5. Step 5: Solve for x
    x = 290,164.81/577.59
  6. Step 6: Final answer
    x = 502.37

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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.