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Finding the Fourth Proportional to 678.61, 937.02 and 442.72

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Solution

The fourth proportional to 678.61, 937.02 and 442.72 is: 611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.61 : 937.02 = 442.72 : x
  2. Step 2: Convert to fraction form
    678.61/937.02 = 442.72/x
  3. Step 3: Cross multiply
    678.61x = 937.02 × 442.72
  4. Step 4: Simplify right side
    678.61x = 414,837.49
  5. Step 5: Solve for x
    x = 414,837.49/678.61
  6. Step 6: Final answer
    x = 611.30

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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.