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Finding the Fourth Proportional to 897.47, 1,238.33 and 582.78

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Solution

The fourth proportional to 897.47, 1,238.33 and 582.78 is: 804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.47 : 1,238.33 = 582.78 : x
  2. Step 2: Convert to fraction form
    897.47/1,238.33 = 582.78/x
  3. Step 3: Cross multiply
    897.47x = 1,238.33 × 582.78
  4. Step 4: Simplify right side
    897.47x = 721,671.04
  5. Step 5: Solve for x
    x = 721,671.04/897.47
  6. Step 6: Final answer
    x = 804.12

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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.