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Finding the Fourth Proportional to 491.84, 678.56 and 491.10

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Solution

The fourth proportional to 491.84, 678.56 and 491.10 is: 677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.84 : 678.56 = 491.10 : x
  2. Step 2: Convert to fraction form
    491.84/678.56 = 491.10/x
  3. Step 3: Cross multiply
    491.84x = 678.56 × 491.10
  4. Step 4: Simplify right side
    491.84x = 333,238.36
  5. Step 5: Solve for x
    x = 333,238.36/491.84
  6. Step 6: Final answer
    x = 677.54

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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.