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Finding the Fourth Proportional to 897.24, 1,239.80 and 860.79

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Solution

The fourth proportional to 897.24, 1,239.80 and 860.79 is: 1,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.24 : 1,239.80 = 860.79 : x
  2. Step 2: Convert to fraction form
    897.24/1,239.80 = 860.79/x
  3. Step 3: Cross multiply
    897.24x = 1,239.80 × 860.79
  4. Step 4: Simplify right side
    897.24x = 1,067,203.14
  5. Step 5: Solve for x
    x = 1,067,203.14/897.24
  6. Step 6: Final answer
    x = 1,189.43

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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.