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Finding the Fourth Proportional to 899.75, 1,346.49 and 622.40

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Solution

The fourth proportional to 899.75, 1,346.49 and 622.40 is: 931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.75 : 1,346.49 = 622.40 : x
  2. Step 2: Convert to fraction form
    899.75/1,346.49 = 622.40/x
  3. Step 3: Cross multiply
    899.75x = 1,346.49 × 622.40
  4. Step 4: Simplify right side
    899.75x = 838,048.64
  5. Step 5: Solve for x
    x = 838,048.64/899.75
  6. Step 6: Final answer
    x = 931.42

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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.