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Finding the Fourth Proportional to 493.33, 678.48 and 394.93

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Solution

The fourth proportional to 493.33, 678.48 and 394.93 is: 543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.33 : 678.48 = 394.93 : x
  2. Step 2: Convert to fraction form
    493.33/678.48 = 394.93/x
  3. Step 3: Cross multiply
    493.33x = 678.48 × 394.93
  4. Step 4: Simplify right side
    493.33x = 267,952.11
  5. Step 5: Solve for x
    x = 267,952.11/493.33
  6. Step 6: Final answer
    x = 543.15

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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.