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Finding the Fourth Proportional to 897.54, 1,238.14 and 582.41

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Solution

The fourth proportional to 897.54, 1,238.14 and 582.41 is: 803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.54 : 1,238.14 = 582.41 : x
  2. Step 2: Convert to fraction form
    897.54/1,238.14 = 582.41/x
  3. Step 3: Cross multiply
    897.54x = 1,238.14 × 582.41
  4. Step 4: Simplify right side
    897.54x = 721,105.12
  5. Step 5: Solve for x
    x = 721,105.12/897.54
  6. Step 6: Final answer
    x = 803.42

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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.