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Finding the Fourth Proportional to 667.89, 920.89 and 543.35

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Solution

The fourth proportional to 667.89, 920.89 and 543.35 is: 749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.89 : 920.89 = 543.35 : x
  2. Step 2: Convert to fraction form
    667.89/920.89 = 543.35/x
  3. Step 3: Cross multiply
    667.89x = 920.89 × 543.35
  4. Step 4: Simplify right side
    667.89x = 500,365.58
  5. Step 5: Solve for x
    x = 500,365.58/667.89
  6. Step 6: Final answer
    x = 749.17

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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.