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Finding the Fourth Proportional to 1,094.00, 1,641.13 and 801.86

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Solution

The fourth proportional to 1,094.00, 1,641.13 and 801.86 is: 1,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.00 : 1,641.13 = 801.86 : x
  2. Step 2: Convert to fraction form
    1,094.00/1,641.13 = 801.86/x
  3. Step 3: Cross multiply
    1,094.00x = 1,641.13 × 801.86
  4. Step 4: Simplify right side
    1,094.00x = 1,315,946.29
  5. Step 5: Solve for x
    x = 1,315,946.29/1,094.00
  6. Step 6: Final answer
    x = 1,202.88

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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.