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Finding the Fourth Proportional to 999.64, 1,496 and 609.44

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Solution

The fourth proportional to 999.64, 1,496 and 609.44 is: 912.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.64 : 1,496 = 609.44 : x
  2. Step 2: Convert to fraction form
    999.64/1,496 = 609.44/x
  3. Step 3: Cross multiply
    999.64x = 1,496 × 609.44
  4. Step 4: Simplify right side
    999.64x = 911,722.24
  5. Step 5: Solve for x
    x = 911,722.24/999.64
  6. Step 6: Final answer
    x = 912.05

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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.