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Finding the Fourth Proportional to 1,308.95, 1,807.21 and 1,170.44

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Solution

The fourth proportional to 1,308.95, 1,807.21 and 1,170.44 is: 1,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.95 : 1,807.21 = 1,170.44 : x
  2. Step 2: Convert to fraction form
    1,308.95/1,807.21 = 1,170.44/x
  3. Step 3: Cross multiply
    1,308.95x = 1,807.21 × 1,170.44
  4. Step 4: Simplify right side
    1,308.95x = 2,115,230.87
  5. Step 5: Solve for x
    x = 2,115,230.87/1,308.95
  6. Step 6: Final answer
    x = 1,615.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.