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Finding the Fourth Proportional to 628.62, 867.15 and 442.40

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Solution

The fourth proportional to 628.62, 867.15 and 442.40 is: 610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.62 : 867.15 = 442.40 : x
  2. Step 2: Convert to fraction form
    628.62/867.15 = 442.40/x
  3. Step 3: Cross multiply
    628.62x = 867.15 × 442.40
  4. Step 4: Simplify right side
    628.62x = 383,627.16
  5. Step 5: Solve for x
    x = 383,627.16/628.62
  6. Step 6: Final answer
    x = 610.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.