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Finding the Fourth Proportional to 968.70, 1,453.08 and 420.12

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Solution

The fourth proportional to 968.70, 1,453.08 and 420.12 is: 630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.70 : 1,453.08 = 420.12 : x
  2. Step 2: Convert to fraction form
    968.70/1,453.08 = 420.12/x
  3. Step 3: Cross multiply
    968.70x = 1,453.08 × 420.12
  4. Step 4: Simplify right side
    968.70x = 610,467.97
  5. Step 5: Solve for x
    x = 610,467.97/968.70
  6. Step 6: Final answer
    x = 630.19

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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.