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Finding the Fourth Proportional to 667.00, 1,000.99 and 538.54

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Solution

The fourth proportional to 667.00, 1,000.99 and 538.54 is: 808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.00 : 1,000.99 = 538.54 : x
  2. Step 2: Convert to fraction form
    667.00/1,000.99 = 538.54/x
  3. Step 3: Cross multiply
    667.00x = 1,000.99 × 538.54
  4. Step 4: Simplify right side
    667.00x = 539,071.33
  5. Step 5: Solve for x
    x = 539,071.33/667.00
  6. Step 6: Final answer
    x = 808.20

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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.