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Finding the Fourth Proportional to 968.23, 1,451.98 and 412.35

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Solution

The fourth proportional to 968.23, 1,451.98 and 412.35 is: 618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.23 : 1,451.98 = 412.35 : x
  2. Step 2: Convert to fraction form
    968.23/1,451.98 = 412.35/x
  3. Step 3: Cross multiply
    968.23x = 1,451.98 × 412.35
  4. Step 4: Simplify right side
    968.23x = 598,723.95
  5. Step 5: Solve for x
    x = 598,723.95/968.23
  6. Step 6: Final answer
    x = 618.37

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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.