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Finding the Fourth Proportional to 668.46, 1,004.25 and 589.02

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Solution

The fourth proportional to 668.46, 1,004.25 and 589.02 is: 884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.46 : 1,004.25 = 589.02 : x
  2. Step 2: Convert to fraction form
    668.46/1,004.25 = 589.02/x
  3. Step 3: Cross multiply
    668.46x = 1,004.25 × 589.02
  4. Step 4: Simplify right side
    668.46x = 591,523.34
  5. Step 5: Solve for x
    x = 591,523.34/668.46
  6. Step 6: Final answer
    x = 884.90

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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.