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Finding the Fourth Proportional to 926.71, 1,382.23 and 788.20

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Solution

The fourth proportional to 926.71, 1,382.23 and 788.20 is: 1,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.71 : 1,382.23 = 788.20 : x
  2. Step 2: Convert to fraction form
    926.71/1,382.23 = 788.20/x
  3. Step 3: Cross multiply
    926.71x = 1,382.23 × 788.20
  4. Step 4: Simplify right side
    926.71x = 1,089,471.22
  5. Step 5: Solve for x
    x = 1,089,471.22/926.71
  6. Step 6: Final answer
    x = 1,175.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.