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Finding the Fourth Proportional to 1,069.43, 1,475.57 and 650.00

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Solution

The fourth proportional to 1,069.43, 1,475.57 and 650.00 is: 896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.43 : 1,475.57 = 650.00 : x
  2. Step 2: Convert to fraction form
    1,069.43/1,475.57 = 650.00/x
  3. Step 3: Cross multiply
    1,069.43x = 1,475.57 × 650.00
  4. Step 4: Simplify right side
    1,069.43x = 959,125.81
  5. Step 5: Solve for x
    x = 959,125.81/1,069.43
  6. Step 6: Final answer
    x = 896.86

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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.