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Finding the Fourth Proportional to 1,361.90, 2,041.31 and 812.95

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Solution

The fourth proportional to 1,361.90, 2,041.31 and 812.95 is: 1,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.90 : 2,041.31 = 812.95 : x
  2. Step 2: Convert to fraction form
    1,361.90/2,041.31 = 812.95/x
  3. Step 3: Cross multiply
    1,361.90x = 2,041.31 × 812.95
  4. Step 4: Simplify right side
    1,361.90x = 1,659,479.89
  5. Step 5: Solve for x
    x = 1,659,479.89/1,361.90
  6. Step 6: Final answer
    x = 1,218.50

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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.