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Finding the Fourth Proportional to 1,771.10, 2,657.91 and 798.02

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Solution

The fourth proportional to 1,771.10, 2,657.91 and 798.02 is: 1,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.10 : 2,657.91 = 798.02 : x
  2. Step 2: Convert to fraction form
    1,771.10/2,657.91 = 798.02/x
  3. Step 3: Cross multiply
    1,771.10x = 2,657.91 × 798.02
  4. Step 4: Simplify right side
    1,771.10x = 2,121,065.34
  5. Step 5: Solve for x
    x = 2,121,065.34/1,771.10
  6. Step 6: Final answer
    x = 1,197.60

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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.