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Finding the Fourth Proportional to 678.18, 933.90 and 664.44

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Solution

The fourth proportional to 678.18, 933.90 and 664.44 is: 914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.18 : 933.90 = 664.44 : x
  2. Step 2: Convert to fraction form
    678.18/933.90 = 664.44/x
  3. Step 3: Cross multiply
    678.18x = 933.90 × 664.44
  4. Step 4: Simplify right side
    678.18x = 620,520.52
  5. Step 5: Solve for x
    x = 620,520.52/678.18
  6. Step 6: Final answer
    x = 914.98

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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.