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Finding the Fourth Proportional to 442.36, 662.46 and 430

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Solution

The fourth proportional to 442.36, 662.46 and 430 is: 643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.36 : 662.46 = 430 : x
  2. Step 2: Convert to fraction form
    442.36/662.46 = 430/x
  3. Step 3: Cross multiply
    442.36x = 662.46 × 430
  4. Step 4: Simplify right side
    442.36x = 284,857.80
  5. Step 5: Solve for x
    x = 284,857.80/442.36
  6. Step 6: Final answer
    x = 643.95

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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.