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Finding the Fourth Proportional to 442.36, 613.03 and 433.72

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Solution

The fourth proportional to 442.36, 613.03 and 433.72 is: 601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.36 : 613.03 = 433.72 : x
  2. Step 2: Convert to fraction form
    442.36/613.03 = 433.72/x
  3. Step 3: Cross multiply
    442.36x = 613.03 × 433.72
  4. Step 4: Simplify right side
    442.36x = 265,883.37
  5. Step 5: Solve for x
    x = 265,883.37/442.36
  6. Step 6: Final answer
    x = 601.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.