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Finding the Fourth Proportional to 999.24, 1,498.62 and 486.12

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Solution

The fourth proportional to 999.24, 1,498.62 and 486.12 is: 729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.24 : 1,498.62 = 486.12 : x
  2. Step 2: Convert to fraction form
    999.24/1,498.62 = 486.12/x
  3. Step 3: Cross multiply
    999.24x = 1,498.62 × 486.12
  4. Step 4: Simplify right side
    999.24x = 728,509.15
  5. Step 5: Solve for x
    x = 728,509.15/999.24
  6. Step 6: Final answer
    x = 729.06

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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.