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Finding the Fourth Proportional to 874.59, 1,205.45 and 579.34

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Solution

The fourth proportional to 874.59, 1,205.45 and 579.34 is: 798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.59 : 1,205.45 = 579.34 : x
  2. Step 2: Convert to fraction form
    874.59/1,205.45 = 579.34/x
  3. Step 3: Cross multiply
    874.59x = 1,205.45 × 579.34
  4. Step 4: Simplify right side
    874.59x = 698,362.51
  5. Step 5: Solve for x
    x = 698,362.51/874.59
  6. Step 6: Final answer
    x = 798.51

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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.