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Finding the Fourth Proportional to 825.34, 1,238.28 and 440.50

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Solution

The fourth proportional to 825.34, 1,238.28 and 440.50 is: 660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.34 : 1,238.28 = 440.50 : x
  2. Step 2: Convert to fraction form
    825.34/1,238.28 = 440.50/x
  3. Step 3: Cross multiply
    825.34x = 1,238.28 × 440.50
  4. Step 4: Simplify right side
    825.34x = 545,462.34
  5. Step 5: Solve for x
    x = 545,462.34/825.34
  6. Step 6: Final answer
    x = 660.89

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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.