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Finding the Fourth Proportional to 734.99, 1,102.85 and 406.19

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Solution

The fourth proportional to 734.99, 1,102.85 and 406.19 is: 609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.99 : 1,102.85 = 406.19 : x
  2. Step 2: Convert to fraction form
    734.99/1,102.85 = 406.19/x
  3. Step 3: Cross multiply
    734.99x = 1,102.85 × 406.19
  4. Step 4: Simplify right side
    734.99x = 447,959.10
  5. Step 5: Solve for x
    x = 447,959.10/734.99
  6. Step 6: Final answer
    x = 609.48

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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.