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Finding the Fourth Proportional to 841.53, 1,263.63 and 694.96

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Solution

The fourth proportional to 841.53, 1,263.63 and 694.96 is: 1,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.53 : 1,263.63 = 694.96 : x
  2. Step 2: Convert to fraction form
    841.53/1,263.63 = 694.96/x
  3. Step 3: Cross multiply
    841.53x = 1,263.63 × 694.96
  4. Step 4: Simplify right side
    841.53x = 878,169.15
  5. Step 5: Solve for x
    x = 878,169.15/841.53
  6. Step 6: Final answer
    x = 1,043.54

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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.