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Finding the Fourth Proportional to 968.69, 1,453.34 and 421.23

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Solution

The fourth proportional to 968.69, 1,453.34 and 421.23 is: 631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.69 : 1,453.34 = 421.23 : x
  2. Step 2: Convert to fraction form
    968.69/1,453.34 = 421.23/x
  3. Step 3: Cross multiply
    968.69x = 1,453.34 × 421.23
  4. Step 4: Simplify right side
    968.69x = 612,196.91
  5. Step 5: Solve for x
    x = 612,196.91/968.69
  6. Step 6: Final answer
    x = 631.98

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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.