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Finding the Fourth Proportional to 840.22, 1,259.04 and 622.74

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Solution

The fourth proportional to 840.22, 1,259.04 and 622.74 is: 933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.22 : 1,259.04 = 622.74 : x
  2. Step 2: Convert to fraction form
    840.22/1,259.04 = 622.74/x
  3. Step 3: Cross multiply
    840.22x = 1,259.04 × 622.74
  4. Step 4: Simplify right side
    840.22x = 784,054.57
  5. Step 5: Solve for x
    x = 784,054.57/840.22
  6. Step 6: Final answer
    x = 933.15

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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.