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Finding the Fourth Proportional to 897.44, 1,239.16 and 635.80

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Solution

The fourth proportional to 897.44, 1,239.16 and 635.80 is: 877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.44 : 1,239.16 = 635.80 : x
  2. Step 2: Convert to fraction form
    897.44/1,239.16 = 635.80/x
  3. Step 3: Cross multiply
    897.44x = 1,239.16 × 635.80
  4. Step 4: Simplify right side
    897.44x = 787,857.93
  5. Step 5: Solve for x
    x = 787,857.93/897.44
  6. Step 6: Final answer
    x = 877.89

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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.