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Finding the Fourth Proportional to 968.78, 1,453.85 and 420.68

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Solution

The fourth proportional to 968.78, 1,453.85 and 420.68 is: 631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.78 : 1,453.85 = 420.68 : x
  2. Step 2: Convert to fraction form
    968.78/1,453.85 = 420.68/x
  3. Step 3: Cross multiply
    968.78x = 1,453.85 × 420.68
  4. Step 4: Simplify right side
    968.78x = 611,605.62
  5. Step 5: Solve for x
    x = 611,605.62/968.78
  6. Step 6: Final answer
    x = 631.32

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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.