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Finding the Fourth Proportional to 894.52, 1,342.19 and 483.22

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Solution

The fourth proportional to 894.52, 1,342.19 and 483.22 is: 725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.52 : 1,342.19 = 483.22 : x
  2. Step 2: Convert to fraction form
    894.52/1,342.19 = 483.22/x
  3. Step 3: Cross multiply
    894.52x = 1,342.19 × 483.22
  4. Step 4: Simplify right side
    894.52x = 648,573.05
  5. Step 5: Solve for x
    x = 648,573.05/894.52
  6. Step 6: Final answer
    x = 725.05

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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.