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Finding the Fourth Proportional to 600.31, 827.26 and 425.35

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Solution

The fourth proportional to 600.31, 827.26 and 425.35 is: 586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.31 : 827.26 = 425.35 : x
  2. Step 2: Convert to fraction form
    600.31/827.26 = 425.35/x
  3. Step 3: Cross multiply
    600.31x = 827.26 × 425.35
  4. Step 4: Simplify right side
    600.31x = 351,877.40
  5. Step 5: Solve for x
    x = 351,877.40/600.31
  6. Step 6: Final answer
    x = 586.16

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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.