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Finding the Fourth Proportional to 442.80, 607.16 and 427.34

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Solution

The fourth proportional to 442.80, 607.16 and 427.34 is: 585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.80 : 607.16 = 427.34 : x
  2. Step 2: Convert to fraction form
    442.80/607.16 = 427.34/x
  3. Step 3: Cross multiply
    442.80x = 607.16 × 427.34
  4. Step 4: Simplify right side
    442.80x = 259,463.75
  5. Step 5: Solve for x
    x = 259,463.75/442.80
  6. Step 6: Final answer
    x = 585.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.