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Finding the Fourth Proportional to 734.14, 1,101.21 and 589.57

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Solution

The fourth proportional to 734.14, 1,101.21 and 589.57 is: 884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.14 : 1,101.21 = 589.57 : x
  2. Step 2: Convert to fraction form
    734.14/1,101.21 = 589.57/x
  3. Step 3: Cross multiply
    734.14x = 1,101.21 × 589.57
  4. Step 4: Simplify right side
    734.14x = 649,240.38
  5. Step 5: Solve for x
    x = 649,240.38/734.14
  6. Step 6: Final answer
    x = 884.36

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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.