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Finding the Fourth Proportional to 1,192.13, 1,644.54 and 897.80

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Solution

The fourth proportional to 1,192.13, 1,644.54 and 897.80 is: 1,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.13 : 1,644.54 = 897.80 : x
  2. Step 2: Convert to fraction form
    1,192.13/1,644.54 = 897.80/x
  3. Step 3: Cross multiply
    1,192.13x = 1,644.54 × 897.80
  4. Step 4: Simplify right side
    1,192.13x = 1,476,456.42
  5. Step 5: Solve for x
    x = 1,476,456.42/1,192.13
  6. Step 6: Final answer
    x = 1,238.50

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1.5x scale

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.