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Finding the Fourth Proportional to 755.15, 1,132.70 and 734.63

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Solution

The fourth proportional to 755.15, 1,132.70 and 734.63 is: 1,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.15 : 1,132.70 = 734.63 : x
  2. Step 2: Convert to fraction form
    755.15/1,132.70 = 734.63/x
  3. Step 3: Cross multiply
    755.15x = 1,132.70 × 734.63
  4. Step 4: Simplify right side
    755.15x = 832,106.06
  5. Step 5: Solve for x
    x = 832,106.06/755.15
  6. Step 6: Final answer
    x = 1,101.92

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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.