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Finding the Fourth Proportional to 442.54, 659.03 and 431.20

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Solution

The fourth proportional to 442.54, 659.03 and 431.20 is: 642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.54 : 659.03 = 431.20 : x
  2. Step 2: Convert to fraction form
    442.54/659.03 = 431.20/x
  3. Step 3: Cross multiply
    442.54x = 659.03 × 431.20
  4. Step 4: Simplify right side
    442.54x = 284,173.74
  5. Step 5: Solve for x
    x = 284,173.74/442.54
  6. Step 6: Final answer
    x = 642.14

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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.