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Finding the Fourth Proportional to 734.83, 1,100.88 and 369.19

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Solution

The fourth proportional to 734.83, 1,100.88 and 369.19 is: 553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.83 : 1,100.88 = 369.19 : x
  2. Step 2: Convert to fraction form
    734.83/1,100.88 = 369.19/x
  3. Step 3: Cross multiply
    734.83x = 1,100.88 × 369.19
  4. Step 4: Simplify right side
    734.83x = 406,433.89
  5. Step 5: Solve for x
    x = 406,433.89/734.83
  6. Step 6: Final answer
    x = 553.10

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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.