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Finding the Fourth Proportional to 999.45, 1,498.37 and 711.09

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Solution

The fourth proportional to 999.45, 1,498.37 and 711.09 is: 1,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.45 : 1,498.37 = 711.09 : x
  2. Step 2: Convert to fraction form
    999.45/1,498.37 = 711.09/x
  3. Step 3: Cross multiply
    999.45x = 1,498.37 × 711.09
  4. Step 4: Simplify right side
    999.45x = 1,065,472.37
  5. Step 5: Solve for x
    x = 1,065,472.37/999.45
  6. Step 6: Final answer
    x = 1,066.06

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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.