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Finding the Fourth Proportional to 851.75, 1,174.53 and 734.10

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Solution

The fourth proportional to 851.75, 1,174.53 and 734.10 is: 1,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.75 : 1,174.53 = 734.10 : x
  2. Step 2: Convert to fraction form
    851.75/1,174.53 = 734.10/x
  3. Step 3: Cross multiply
    851.75x = 1,174.53 × 734.10
  4. Step 4: Simplify right side
    851.75x = 862,220.82
  5. Step 5: Solve for x
    x = 862,220.82/851.75
  6. Step 6: Final answer
    x = 1,012.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.