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Finding the Fourth Proportional to 968.05, 1,454.95 and 455.41

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Solution

The fourth proportional to 968.05, 1,454.95 and 455.41 is: 684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.05 : 1,454.95 = 455.41 : x
  2. Step 2: Convert to fraction form
    968.05/1,454.95 = 455.41/x
  3. Step 3: Cross multiply
    968.05x = 1,454.95 × 455.41
  4. Step 4: Simplify right side
    968.05x = 662,590.37
  5. Step 5: Solve for x
    x = 662,590.37/968.05
  6. Step 6: Final answer
    x = 684.46

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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.