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Finding the Fourth Proportional to 608.66, 839.48 and 431.27

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Solution

The fourth proportional to 608.66, 839.48 and 431.27 is: 594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.66 : 839.48 = 431.27 : x
  2. Step 2: Convert to fraction form
    608.66/839.48 = 431.27/x
  3. Step 3: Cross multiply
    608.66x = 839.48 × 431.27
  4. Step 4: Simplify right side
    608.66x = 362,039.42
  5. Step 5: Solve for x
    x = 362,039.42/608.66
  6. Step 6: Final answer
    x = 594.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.