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Finding the Fourth Proportional to 755.65, 1,127.19 and 743.12

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Solution

The fourth proportional to 755.65, 1,127.19 and 743.12 is: 1,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.65 : 1,127.19 = 743.12 : x
  2. Step 2: Convert to fraction form
    755.65/1,127.19 = 743.12/x
  3. Step 3: Cross multiply
    755.65x = 1,127.19 × 743.12
  4. Step 4: Simplify right side
    755.65x = 837,638.81
  5. Step 5: Solve for x
    x = 837,638.81/755.65
  6. Step 6: Final answer
    x = 1,108.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.