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Finding the Fourth Proportional to 668.77, 1,003.46 and 257.87

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Solution

The fourth proportional to 668.77, 1,003.46 and 257.87 is: 386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.77 : 1,003.46 = 257.87 : x
  2. Step 2: Convert to fraction form
    668.77/1,003.46 = 257.87/x
  3. Step 3: Cross multiply
    668.77x = 1,003.46 × 257.87
  4. Step 4: Simplify right side
    668.77x = 258,762.23
  5. Step 5: Solve for x
    x = 258,762.23/668.77
  6. Step 6: Final answer
    x = 386.92

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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.