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Finding the Fourth Proportional to 968.82, 1,453.75 and 421.00

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Solution

The fourth proportional to 968.82, 1,453.75 and 421.00 is: 631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.82 : 1,453.75 = 421.00 : x
  2. Step 2: Convert to fraction form
    968.82/1,453.75 = 421.00/x
  3. Step 3: Cross multiply
    968.82x = 1,453.75 × 421.00
  4. Step 4: Simplify right side
    968.82x = 612,021.48
  5. Step 5: Solve for x
    x = 612,021.48/968.82
  6. Step 6: Final answer
    x = 631.72

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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.