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Finding the Fourth Proportional to 884.23, 1,326.35 and 609.49

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Solution

The fourth proportional to 884.23, 1,326.35 and 609.49 is: 914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.23 : 1,326.35 = 609.49 : x
  2. Step 2: Convert to fraction form
    884.23/1,326.35 = 609.49/x
  3. Step 3: Cross multiply
    884.23x = 1,326.35 × 609.49
  4. Step 4: Simplify right side
    884.23x = 808,397.06
  5. Step 5: Solve for x
    x = 808,397.06/884.23
  6. Step 6: Final answer
    x = 914.24

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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.