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Finding the Fourth Proportional to 1,094.85, 1,637.29 and 817.40

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Solution

The fourth proportional to 1,094.85, 1,637.29 and 817.40 is: 1,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.85 : 1,637.29 = 817.40 : x
  2. Step 2: Convert to fraction form
    1,094.85/1,637.29 = 817.40/x
  3. Step 3: Cross multiply
    1,094.85x = 1,637.29 × 817.40
  4. Step 4: Simplify right side
    1,094.85x = 1,338,321.36
  5. Step 5: Solve for x
    x = 1,338,321.36/1,094.85
  6. Step 6: Final answer
    x = 1,222.38

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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.