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Finding the Fourth Proportional to 611.26, 842.87 and 434.17

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Solution

The fourth proportional to 611.26, 842.87 and 434.17 is: 598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.26 : 842.87 = 434.17 : x
  2. Step 2: Convert to fraction form
    611.26/842.87 = 434.17/x
  3. Step 3: Cross multiply
    611.26x = 842.87 × 434.17
  4. Step 4: Simplify right side
    611.26x = 365,951.01
  5. Step 5: Solve for x
    x = 365,951.01/611.26
  6. Step 6: Final answer
    x = 598.69

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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.