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Finding the Fourth Proportional to 841.63, 1,261.95 and 739.12

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Solution

The fourth proportional to 841.63, 1,261.95 and 739.12 is: 1,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.63 : 1,261.95 = 739.12 : x
  2. Step 2: Convert to fraction form
    841.63/1,261.95 = 739.12/x
  3. Step 3: Cross multiply
    841.63x = 1,261.95 × 739.12
  4. Step 4: Simplify right side
    841.63x = 932,732.48
  5. Step 5: Solve for x
    x = 932,732.48/841.63
  6. Step 6: Final answer
    x = 1,108.25

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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.