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Finding the Fourth Proportional to 1,546.89, 2,319.84 and 622.50

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Solution

The fourth proportional to 1,546.89, 2,319.84 and 622.50 is: 933.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.89 : 2,319.84 = 622.50 : x
  2. Step 2: Convert to fraction form
    1,546.89/2,319.84 = 622.50/x
  3. Step 3: Cross multiply
    1,546.89x = 2,319.84 × 622.50
  4. Step 4: Simplify right side
    1,546.89x = 1,444,100.40
  5. Step 5: Solve for x
    x = 1,444,100.40/1,546.89
  6. Step 6: Final answer
    x = 933.55

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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.