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Finding the Fourth Proportional to 967.92, 1,454.76 and 455.28

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Solution

The fourth proportional to 967.92, 1,454.76 and 455.28 is: 684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.92 : 1,454.76 = 455.28 : x
  2. Step 2: Convert to fraction form
    967.92/1,454.76 = 455.28/x
  3. Step 3: Cross multiply
    967.92x = 1,454.76 × 455.28
  4. Step 4: Simplify right side
    967.92x = 662,323.13
  5. Step 5: Solve for x
    x = 662,323.13/967.92
  6. Step 6: Final answer
    x = 684.27

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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.