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Finding the Fourth Proportional to 431.90, 592.78 and 394.82

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Solution

The fourth proportional to 431.90, 592.78 and 394.82 is: 541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.90 : 592.78 = 394.82 : x
  2. Step 2: Convert to fraction form
    431.90/592.78 = 394.82/x
  3. Step 3: Cross multiply
    431.90x = 592.78 × 394.82
  4. Step 4: Simplify right side
    431.90x = 234,041.40
  5. Step 5: Solve for x
    x = 234,041.40/431.90
  6. Step 6: Final answer
    x = 541.89

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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.