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Finding the Fourth Proportional to 431.53, 592.31 and 394.62

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Solution

The fourth proportional to 431.53, 592.31 and 394.62 is: 541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.53 : 592.31 = 394.62 : x
  2. Step 2: Convert to fraction form
    431.53/592.31 = 394.62/x
  3. Step 3: Cross multiply
    431.53x = 592.31 × 394.62
  4. Step 4: Simplify right side
    431.53x = 233,739.47
  5. Step 5: Solve for x
    x = 233,739.47/431.53
  6. Step 6: Final answer
    x = 541.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.