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Finding the Fourth Proportional to 1,097.02, 1,645.50 and 734.14

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Solution

The fourth proportional to 1,097.02, 1,645.50 and 734.14 is: 1,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.02 : 1,645.50 = 734.14 : x
  2. Step 2: Convert to fraction form
    1,097.02/1,645.50 = 734.14/x
  3. Step 3: Cross multiply
    1,097.02x = 1,645.50 × 734.14
  4. Step 4: Simplify right side
    1,097.02x = 1,208,027.37
  5. Step 5: Solve for x
    x = 1,208,027.37/1,097.02
  6. Step 6: Final answer
    x = 1,101.19

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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.