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Finding the Fourth Proportional to 841.29, 1,259.87 and 694.14

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Solution

The fourth proportional to 841.29, 1,259.87 and 694.14 is: 1,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.29 : 1,259.87 = 694.14 : x
  2. Step 2: Convert to fraction form
    841.29/1,259.87 = 694.14/x
  3. Step 3: Cross multiply
    841.29x = 1,259.87 × 694.14
  4. Step 4: Simplify right side
    841.29x = 874,519.86
  5. Step 5: Solve for x
    x = 874,519.86/841.29
  6. Step 6: Final answer
    x = 1,039.50

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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.