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Finding the Fourth Proportional to 825.23, 1,237.44 and 551.18

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Solution

The fourth proportional to 825.23, 1,237.44 and 551.18 is: 826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.23 : 1,237.44 = 551.18 : x
  2. Step 2: Convert to fraction form
    825.23/1,237.44 = 551.18/x
  3. Step 3: Cross multiply
    825.23x = 1,237.44 × 551.18
  4. Step 4: Simplify right side
    825.23x = 682,052.18
  5. Step 5: Solve for x
    x = 682,052.18/825.23
  6. Step 6: Final answer
    x = 826.50

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Half scale
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Double scale
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1.5x scale

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.