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Finding the Fourth Proportional to 887.58, 1,224.72 and 494.46

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Solution

The fourth proportional to 887.58, 1,224.72 and 494.46 is: 682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.58 : 1,224.72 = 494.46 : x
  2. Step 2: Convert to fraction form
    887.58/1,224.72 = 494.46/x
  3. Step 3: Cross multiply
    887.58x = 1,224.72 × 494.46
  4. Step 4: Simplify right side
    887.58x = 605,575.05
  5. Step 5: Solve for x
    x = 605,575.05/887.58
  6. Step 6: Final answer
    x = 682.28

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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.