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Finding the Fourth Proportional to 1,365.09, 1,884.05 and 805.70

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Solution

The fourth proportional to 1,365.09, 1,884.05 and 805.70 is: 1,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.09 : 1,884.05 = 805.70 : x
  2. Step 2: Convert to fraction form
    1,365.09/1,884.05 = 805.70/x
  3. Step 3: Cross multiply
    1,365.09x = 1,884.05 × 805.70
  4. Step 4: Simplify right side
    1,365.09x = 1,517,968.66
  5. Step 5: Solve for x
    x = 1,517,968.66/1,365.09
  6. Step 6: Final answer
    x = 1,111.99

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1.5x scale

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.