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Finding the Fourth Proportional to 600.15, 827.96 and 434.00

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Solution

The fourth proportional to 600.15, 827.96 and 434.00 is: 598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.15 : 827.96 = 434.00 : x
  2. Step 2: Convert to fraction form
    600.15/827.96 = 434.00/x
  3. Step 3: Cross multiply
    600.15x = 827.96 × 434.00
  4. Step 4: Simplify right side
    600.15x = 359,328.33
  5. Step 5: Solve for x
    x = 359,328.33/600.15
  6. Step 6: Final answer
    x = 598.73

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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.