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Finding the Fourth Proportional to 841.59, 1,161.54 and 620.26

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Solution

The fourth proportional to 841.59, 1,161.54 and 620.26 is: 856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.59 : 1,161.54 = 620.26 : x
  2. Step 2: Convert to fraction form
    841.59/1,161.54 = 620.26/x
  3. Step 3: Cross multiply
    841.59x = 1,161.54 × 620.26
  4. Step 4: Simplify right side
    841.59x = 720,453.90
  5. Step 5: Solve for x
    x = 720,453.90/841.59
  6. Step 6: Final answer
    x = 856.06

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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.