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Finding the Fourth Proportional to 842.56, 1,256.84 and 783.16

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Solution

The fourth proportional to 842.56, 1,256.84 and 783.16 is: 1,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.56 : 1,256.84 = 783.16 : x
  2. Step 2: Convert to fraction form
    842.56/1,256.84 = 783.16/x
  3. Step 3: Cross multiply
    842.56x = 1,256.84 × 783.16
  4. Step 4: Simplify right side
    842.56x = 984,306.81
  5. Step 5: Solve for x
    x = 984,306.81/842.56
  6. Step 6: Final answer
    x = 1,168.23

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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.