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Finding the Fourth Proportional to 912.06, 1,361.43 and 802.71

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Solution

The fourth proportional to 912.06, 1,361.43 and 802.71 is: 1,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.06 : 1,361.43 = 802.71 : x
  2. Step 2: Convert to fraction form
    912.06/1,361.43 = 802.71/x
  3. Step 3: Cross multiply
    912.06x = 1,361.43 × 802.71
  4. Step 4: Simplify right side
    912.06x = 1,092,833.48
  5. Step 5: Solve for x
    x = 1,092,833.48/912.06
  6. Step 6: Final answer
    x = 1,198.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.