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Finding the Fourth Proportional to 609.17, 914.66 and 349.46

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Solution

The fourth proportional to 609.17, 914.66 and 349.46 is: 524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.17 : 914.66 = 349.46 : x
  2. Step 2: Convert to fraction form
    609.17/914.66 = 349.46/x
  3. Step 3: Cross multiply
    609.17x = 914.66 × 349.46
  4. Step 4: Simplify right side
    609.17x = 319,630.76
  5. Step 5: Solve for x
    x = 319,630.76/609.17
  6. Step 6: Final answer
    x = 524.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.