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Finding the Fourth Proportional to 891.84, 1,221.84 and 857.28

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Solution

The fourth proportional to 891.84, 1,221.84 and 857.28 is: 1,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.84 : 1,221.84 = 857.28 : x
  2. Step 2: Convert to fraction form
    891.84/1,221.84 = 857.28/x
  3. Step 3: Cross multiply
    891.84x = 1,221.84 × 857.28
  4. Step 4: Simplify right side
    891.84x = 1,047,459.00
  5. Step 5: Solve for x
    x = 1,047,459.00/891.84
  6. Step 6: Final answer
    x = 1,174.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.