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Finding the Fourth Proportional to 734.47, 1,102.19 and 349.75

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Solution

The fourth proportional to 734.47, 1,102.19 and 349.75 is: 524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.47 : 1,102.19 = 349.75 : x
  2. Step 2: Convert to fraction form
    734.47/1,102.19 = 349.75/x
  3. Step 3: Cross multiply
    734.47x = 1,102.19 × 349.75
  4. Step 4: Simplify right side
    734.47x = 385,490.95
  5. Step 5: Solve for x
    x = 385,490.95/734.47
  6. Step 6: Final answer
    x = 524.86

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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.