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Finding the Fourth Proportional to 885.26, 1,326.09 and 421.64

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Solution

The fourth proportional to 885.26, 1,326.09 and 421.64 is: 631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.26 : 1,326.09 = 421.64 : x
  2. Step 2: Convert to fraction form
    885.26/1,326.09 = 421.64/x
  3. Step 3: Cross multiply
    885.26x = 1,326.09 × 421.64
  4. Step 4: Simplify right side
    885.26x = 559,130.14
  5. Step 5: Solve for x
    x = 559,130.14/885.26
  6. Step 6: Final answer
    x = 631.60

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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.