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Finding the Fourth Proportional to 999.32, 1,379.21 and 601.00

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Solution

The fourth proportional to 999.32, 1,379.21 and 601.00 is: 829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.32 : 1,379.21 = 601.00 : x
  2. Step 2: Convert to fraction form
    999.32/1,379.21 = 601.00/x
  3. Step 3: Cross multiply
    999.32x = 1,379.21 × 601.00
  4. Step 4: Simplify right side
    999.32x = 828,898.76
  5. Step 5: Solve for x
    x = 828,898.76/999.32
  6. Step 6: Final answer
    x = 829.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.