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Finding the Fourth Proportional to 968.50, 1,453.43 and 420.84

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Solution

The fourth proportional to 968.50, 1,453.43 and 420.84 is: 631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.50 : 1,453.43 = 420.84 : x
  2. Step 2: Convert to fraction form
    968.50/1,453.43 = 420.84/x
  3. Step 3: Cross multiply
    968.50x = 1,453.43 × 420.84
  4. Step 4: Simplify right side
    968.50x = 611,662.53
  5. Step 5: Solve for x
    x = 611,662.53/968.50
  6. Step 6: Final answer
    x = 631.56

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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.