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Finding the Fourth Proportional to 841.86, 1,255.37 and 783.43

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Solution

The fourth proportional to 841.86, 1,255.37 and 783.43 is: 1,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.86 : 1,255.37 = 783.43 : x
  2. Step 2: Convert to fraction form
    841.86/1,255.37 = 783.43/x
  3. Step 3: Cross multiply
    841.86x = 1,255.37 × 783.43
  4. Step 4: Simplify right side
    841.86x = 983,487.46
  5. Step 5: Solve for x
    x = 983,487.46/841.86
  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.