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Finding the Fourth Proportional to 673.84, 1,011.12 and 381.34

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Solution

The fourth proportional to 673.84, 1,011.12 and 381.34 is: 572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.84 : 1,011.12 = 381.34 : x
  2. Step 2: Convert to fraction form
    673.84/1,011.12 = 381.34/x
  3. Step 3: Cross multiply
    673.84x = 1,011.12 × 381.34
  4. Step 4: Simplify right side
    673.84x = 385,580.50
  5. Step 5: Solve for x
    x = 385,580.50/673.84
  6. Step 6: Final answer
    x = 572.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.