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Finding the Fourth Proportional to 667.58, 1,001.68 and 256.86

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Solution

The fourth proportional to 667.58, 1,001.68 and 256.86 is: 385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.58 : 1,001.68 = 256.86 : x
  2. Step 2: Convert to fraction form
    667.58/1,001.68 = 256.86/x
  3. Step 3: Cross multiply
    667.58x = 1,001.68 × 256.86
  4. Step 4: Simplify right side
    667.58x = 257,290.88
  5. Step 5: Solve for x
    x = 257,290.88/667.58
  6. Step 6: Final answer
    x = 385.41

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