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Finding the Fourth Proportional to 430.90, 591.41 and 393.82

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Solution

The fourth proportional to 430.90, 591.41 and 393.82 is: 540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.90 : 591.41 = 393.82 : x
  2. Step 2: Convert to fraction form
    430.90/591.41 = 393.82/x
  3. Step 3: Cross multiply
    430.90x = 591.41 × 393.82
  4. Step 4: Simplify right side
    430.90x = 232,909.09
  5. Step 5: Solve for x
    x = 232,909.09/430.90
  6. Step 6: Final answer
    x = 540.52

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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.