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Finding the Fourth Proportional to 1,192.19, 1,643.90 and 749.52

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Solution

The fourth proportional to 1,192.19, 1,643.90 and 749.52 is: 1,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.19 : 1,643.90 = 749.52 : x
  2. Step 2: Convert to fraction form
    1,192.19/1,643.90 = 749.52/x
  3. Step 3: Cross multiply
    1,192.19x = 1,643.90 × 749.52
  4. Step 4: Simplify right side
    1,192.19x = 1,232,132.18
  5. Step 5: Solve for x
    x = 1,232,132.18/1,192.19
  6. Step 6: Final answer
    x = 1,033.51

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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.