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Finding the Fourth Proportional to 1,096.06, 1,512.75 and 654.23

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Solution

The fourth proportional to 1,096.06, 1,512.75 and 654.23 is: 902.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.06 : 1,512.75 = 654.23 : x
  2. Step 2: Convert to fraction form
    1,096.06/1,512.75 = 654.23/x
  3. Step 3: Cross multiply
    1,096.06x = 1,512.75 × 654.23
  4. Step 4: Simplify right side
    1,096.06x = 989,686.43
  5. Step 5: Solve for x
    x = 989,686.43/1,096.06
  6. Step 6: Final answer
    x = 902.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.