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Finding the Fourth Proportional to 734.62, 1,102.23 and 410.21

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Solution

The fourth proportional to 734.62, 1,102.23 and 410.21 is: 615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.62 : 1,102.23 = 410.21 : x
  2. Step 2: Convert to fraction form
    734.62/1,102.23 = 410.21/x
  3. Step 3: Cross multiply
    734.62x = 1,102.23 × 410.21
  4. Step 4: Simplify right side
    734.62x = 452,151.74
  5. Step 5: Solve for x
    x = 452,151.74/734.62
  6. Step 6: Final answer
    x = 615.49

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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.