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Finding the Fourth Proportional to 999.85, 1,500.84 and 653.88

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Solution

The fourth proportional to 999.85, 1,500.84 and 653.88 is: 981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.85 : 1,500.84 = 653.88 : x
  2. Step 2: Convert to fraction form
    999.85/1,500.84 = 653.88/x
  3. Step 3: Cross multiply
    999.85x = 1,500.84 × 653.88
  4. Step 4: Simplify right side
    999.85x = 981,369.26
  5. Step 5: Solve for x
    x = 981,369.26/999.85
  6. Step 6: Final answer
    x = 981.52

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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.