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Finding the Fourth Proportional to 455.92, 684.54 and 283.32

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Solution

The fourth proportional to 455.92, 684.54 and 283.32 is: 425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.92 : 684.54 = 283.32 : x
  2. Step 2: Convert to fraction form
    455.92/684.54 = 283.32/x
  3. Step 3: Cross multiply
    455.92x = 684.54 × 283.32
  4. Step 4: Simplify right side
    455.92x = 193,943.87
  5. Step 5: Solve for x
    x = 193,943.87/455.92
  6. Step 6: Final answer
    x = 425.39

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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.