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Finding the Fourth Proportional to 668.15, 1,001.96 and 257.30

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Solution

The fourth proportional to 668.15, 1,001.96 and 257.30 is: 385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.15 : 1,001.96 = 257.30 : x
  2. Step 2: Convert to fraction form
    668.15/1,001.96 = 257.30/x
  3. Step 3: Cross multiply
    668.15x = 1,001.96 × 257.30
  4. Step 4: Simplify right side
    668.15x = 257,803.02
  5. Step 5: Solve for x
    x = 257,803.02/668.15
  6. Step 6: Final answer
    x = 385.85

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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.