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Finding the Fourth Proportional to 875.25, 1,205.79 and 609.23

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Solution

The fourth proportional to 875.25, 1,205.79 and 609.23 is: 839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.25 : 1,205.79 = 609.23 : x
  2. Step 2: Convert to fraction form
    875.25/1,205.79 = 609.23/x
  3. Step 3: Cross multiply
    875.25x = 1,205.79 × 609.23
  4. Step 4: Simplify right side
    875.25x = 734,606.46
  5. Step 5: Solve for x
    x = 734,606.46/875.25
  6. Step 6: Final answer
    x = 839.31

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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.