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Finding the Fourth Proportional to 841.45, 1,260.22 and 812.26

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Solution

The fourth proportional to 841.45, 1,260.22 and 812.26 is: 1,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.45 : 1,260.22 = 812.26 : x
  2. Step 2: Convert to fraction form
    841.45/1,260.22 = 812.26/x
  3. Step 3: Cross multiply
    841.45x = 1,260.22 × 812.26
  4. Step 4: Simplify right side
    841.45x = 1,023,626.30
  5. Step 5: Solve for x
    x = 1,023,626.30/841.45
  6. Step 6: Final answer
    x = 1,216.50

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1.5x scale

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.