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Finding the Fourth Proportional to 462.75, 639.80 and 442.35

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Solution

The fourth proportional to 462.75, 639.80 and 442.35 is: 611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.75 : 639.80 = 442.35 : x
  2. Step 2: Convert to fraction form
    462.75/639.80 = 442.35/x
  3. Step 3: Cross multiply
    462.75x = 639.80 × 442.35
  4. Step 4: Simplify right side
    462.75x = 283,013.32
  5. Step 5: Solve for x
    x = 283,013.32/462.75
  6. Step 6: Final answer
    x = 611.59

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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.