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Finding the Fourth Proportional to 897.78, 1,239.37 and 698.22

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Solution

The fourth proportional to 897.78, 1,239.37 and 698.22 is: 963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.78 : 1,239.37 = 698.22 : x
  2. Step 2: Convert to fraction form
    897.78/1,239.37 = 698.22/x
  3. Step 3: Cross multiply
    897.78x = 1,239.37 × 698.22
  4. Step 4: Simplify right side
    897.78x = 865,343.23
  5. Step 5: Solve for x
    x = 865,343.23/897.78
  6. Step 6: Final answer
    x = 963.87

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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.