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Finding the Fourth Proportional to 442.02, 666.38 and 436.54

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Solution

The fourth proportional to 442.02, 666.38 and 436.54 is: 658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.02 : 666.38 = 436.54 : x
  2. Step 2: Convert to fraction form
    442.02/666.38 = 436.54/x
  3. Step 3: Cross multiply
    442.02x = 666.38 × 436.54
  4. Step 4: Simplify right side
    442.02x = 290,901.53
  5. Step 5: Solve for x
    x = 290,901.53/442.02
  6. Step 6: Final answer
    x = 658.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.