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Finding the Fourth Proportional to 1,368.53, 2,050.20 and 812.06

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Solution

The fourth proportional to 1,368.53, 2,050.20 and 812.06 is: 1,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.53 : 2,050.20 = 812.06 : x
  2. Step 2: Convert to fraction form
    1,368.53/2,050.20 = 812.06/x
  3. Step 3: Cross multiply
    1,368.53x = 2,050.20 × 812.06
  4. Step 4: Simplify right side
    1,368.53x = 1,664,890.54
  5. Step 5: Solve for x
    x = 1,664,890.54/1,368.53
  6. Step 6: Final answer
    x = 1,216.55

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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.