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Finding the Fourth Proportional to 897.24, 1,347.03 and 843.78

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Solution

The fourth proportional to 897.24, 1,347.03 and 843.78 is: 1,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.24 : 1,347.03 = 843.78 : x
  2. Step 2: Convert to fraction form
    897.24/1,347.03 = 843.78/x
  3. Step 3: Cross multiply
    897.24x = 1,347.03 × 843.78
  4. Step 4: Simplify right side
    897.24x = 1,136,596.97
  5. Step 5: Solve for x
    x = 1,136,596.97/897.24
  6. Step 6: Final answer
    x = 1,266.77

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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.