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Finding the Fourth Proportional to 734.96, 1,099.65 and 452.51

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Solution

The fourth proportional to 734.96, 1,099.65 and 452.51 is: 677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.96 : 1,099.65 = 452.51 : x
  2. Step 2: Convert to fraction form
    734.96/1,099.65 = 452.51/x
  3. Step 3: Cross multiply
    734.96x = 1,099.65 × 452.51
  4. Step 4: Simplify right side
    734.96x = 497,605.37
  5. Step 5: Solve for x
    x = 497,605.37/734.96
  6. Step 6: Final answer
    x = 677.06

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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.