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Finding the Fourth Proportional to 734.23, 1,106.51 and 661.19

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Solution

The fourth proportional to 734.23, 1,106.51 and 661.19 is: 996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.23 : 1,106.51 = 661.19 : x
  2. Step 2: Convert to fraction form
    734.23/1,106.51 = 661.19/x
  3. Step 3: Cross multiply
    734.23x = 1,106.51 × 661.19
  4. Step 4: Simplify right side
    734.23x = 731,612.81
  5. Step 5: Solve for x
    x = 731,612.81/734.23
  6. Step 6: Final answer
    x = 996.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.