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Finding the Fourth Proportional to 897.27, 1,239.33 and 868.56

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Solution

The fourth proportional to 897.27, 1,239.33 and 868.56 is: 1,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.27 : 1,239.33 = 868.56 : x
  2. Step 2: Convert to fraction form
    897.27/1,239.33 = 868.56/x
  3. Step 3: Cross multiply
    897.27x = 1,239.33 × 868.56
  4. Step 4: Simplify right side
    897.27x = 1,076,432.46
  5. Step 5: Solve for x
    x = 1,076,432.46/897.27
  6. Step 6: Final answer
    x = 1,199.68

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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.