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Finding the Fourth Proportional to 999.45, 1,496.86 and 964.85

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Solution

The fourth proportional to 999.45, 1,496.86 and 964.85 is: 1,445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.45 : 1,496.86 = 964.85 : x
  2. Step 2: Convert to fraction form
    999.45/1,496.86 = 964.85/x
  3. Step 3: Cross multiply
    999.45x = 1,496.86 × 964.85
  4. Step 4: Simplify right side
    999.45x = 1,444,235.47
  5. Step 5: Solve for x
    x = 1,444,235.47/999.45
  6. Step 6: Final answer
    x = 1,445.03

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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.