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Finding the Fourth Proportional to 893.76, 1,342.53 and 547.26

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Solution

The fourth proportional to 893.76, 1,342.53 and 547.26 is: 822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.76 : 1,342.53 = 547.26 : x
  2. Step 2: Convert to fraction form
    893.76/1,342.53 = 547.26/x
  3. Step 3: Cross multiply
    893.76x = 1,342.53 × 547.26
  4. Step 4: Simplify right side
    893.76x = 734,712.97
  5. Step 5: Solve for x
    x = 734,712.97/893.76
  6. Step 6: Final answer
    x = 822.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.