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Finding the Fourth Proportional to 1,365.66, 1,884.57 and 776.28

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Solution

The fourth proportional to 1,365.66, 1,884.57 and 776.28 is: 1,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.66 : 1,884.57 = 776.28 : x
  2. Step 2: Convert to fraction form
    1,365.66/1,884.57 = 776.28/x
  3. Step 3: Cross multiply
    1,365.66x = 1,884.57 × 776.28
  4. Step 4: Simplify right side
    1,365.66x = 1,462,958.16
  5. Step 5: Solve for x
    x = 1,462,958.16/1,365.66
  6. Step 6: Final answer
    x = 1,071.25

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