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Finding the Fourth Proportional to 442.23, 659.31 and 431.01

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Solution

The fourth proportional to 442.23, 659.31 and 431.01 is: 642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.23 : 659.31 = 431.01 : x
  2. Step 2: Convert to fraction form
    442.23/659.31 = 431.01/x
  3. Step 3: Cross multiply
    442.23x = 659.31 × 431.01
  4. Step 4: Simplify right side
    442.23x = 284,169.20
  5. Step 5: Solve for x
    x = 284,169.20/442.23
  6. Step 6: Final answer
    x = 642.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.