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Finding the Fourth Proportional to 1,622.50, 2,433.99 and 756.34

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Solution

The fourth proportional to 1,622.50, 2,433.99 and 756.34 is: 1,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.50 : 2,433.99 = 756.34 : x
  2. Step 2: Convert to fraction form
    1,622.50/2,433.99 = 756.34/x
  3. Step 3: Cross multiply
    1,622.50x = 2,433.99 × 756.34
  4. Step 4: Simplify right side
    1,622.50x = 1,840,924.00
  5. Step 5: Solve for x
    x = 1,840,924.00/1,622.50
  6. Step 6: Final answer
    x = 1,134.62

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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.