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Finding the Fourth Proportional to 841.46, 1,260.23 and 812.27

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Solution

The fourth proportional to 841.46, 1,260.23 and 812.27 is: 1,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.46 : 1,260.23 = 812.27 : x
  2. Step 2: Convert to fraction form
    841.46/1,260.23 = 812.27/x
  3. Step 3: Cross multiply
    841.46x = 1,260.23 × 812.27
  4. Step 4: Simplify right side
    841.46x = 1,023,639.71
  5. Step 5: Solve for x
    x = 1,023,639.71/841.46
  6. Step 6: Final answer
    x = 1,216.51

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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.