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Finding the Fourth Proportional to 668.10, 1,002.83 and 591.56

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Solution

The fourth proportional to 668.10, 1,002.83 and 591.56 is: 887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.10 : 1,002.83 = 591.56 : x
  2. Step 2: Convert to fraction form
    668.10/1,002.83 = 591.56/x
  3. Step 3: Cross multiply
    668.10x = 1,002.83 × 591.56
  4. Step 4: Simplify right side
    668.10x = 593,226.14
  5. Step 5: Solve for x
    x = 593,226.14/668.10
  6. Step 6: Final answer
    x = 887.93

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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.