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Finding the Fourth Proportional to 491.84, 678.24 and 407.68

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Solution

The fourth proportional to 491.84, 678.24 and 407.68 is: 562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.84 : 678.24 = 407.68 : x
  2. Step 2: Convert to fraction form
    491.84/678.24 = 407.68/x
  3. Step 3: Cross multiply
    491.84x = 678.24 × 407.68
  4. Step 4: Simplify right side
    491.84x = 276,504.88
  5. Step 5: Solve for x
    x = 276,504.88/491.84
  6. Step 6: Final answer
    x = 562.18

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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.