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Finding the Fourth Proportional to 491.42, 678.83 and 444.84

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Solution

The fourth proportional to 491.42, 678.83 and 444.84 is: 614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.42 : 678.83 = 444.84 : x
  2. Step 2: Convert to fraction form
    491.42/678.83 = 444.84/x
  3. Step 3: Cross multiply
    491.42x = 678.83 × 444.84
  4. Step 4: Simplify right side
    491.42x = 301,968.51
  5. Step 5: Solve for x
    x = 301,968.51/491.42
  6. Step 6: Final answer
    x = 614.49

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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.