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Finding the Fourth Proportional to 825.06, 1,236.54 and 454.62

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Solution

The fourth proportional to 825.06, 1,236.54 and 454.62 is: 681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.06 : 1,236.54 = 454.62 : x
  2. Step 2: Convert to fraction form
    825.06/1,236.54 = 454.62/x
  3. Step 3: Cross multiply
    825.06x = 1,236.54 × 454.62
  4. Step 4: Simplify right side
    825.06x = 562,155.81
  5. Step 5: Solve for x
    x = 562,155.81/825.06
  6. Step 6: Final answer
    x = 681.35

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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.