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Finding the Fourth Proportional to 1,365.49, 1,884.32 and 805.98

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Solution

The fourth proportional to 1,365.49, 1,884.32 and 805.98 is: 1,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.49 : 1,884.32 = 805.98 : x
  2. Step 2: Convert to fraction form
    1,365.49/1,884.32 = 805.98/x
  3. Step 3: Cross multiply
    1,365.49x = 1,884.32 × 805.98
  4. Step 4: Simplify right side
    1,365.49x = 1,518,724.23
  5. Step 5: Solve for x
    x = 1,518,724.23/1,365.49
  6. Step 6: Final answer
    x = 1,112.22

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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.