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Finding the Fourth Proportional to 673.84, 929.84 and 411.81

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Solution

The fourth proportional to 673.84, 929.84 and 411.81 is: 568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.84 : 929.84 = 411.81 : x
  2. Step 2: Convert to fraction form
    673.84/929.84 = 411.81/x
  3. Step 3: Cross multiply
    673.84x = 929.84 × 411.81
  4. Step 4: Simplify right side
    673.84x = 382,917.41
  5. Step 5: Solve for x
    x = 382,917.41/673.84
  6. Step 6: Final answer
    x = 568.26

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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.