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Finding the Fourth Proportional to 2,258.14, 3,386.33 and 777.08

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Solution

The fourth proportional to 2,258.14, 3,386.33 and 777.08 is: 1,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.14 : 3,386.33 = 777.08 : x
  2. Step 2: Convert to fraction form
    2,258.14/3,386.33 = 777.08/x
  3. Step 3: Cross multiply
    2,258.14x = 3,386.33 × 777.08
  4. Step 4: Simplify right side
    2,258.14x = 2,631,432.38
  5. Step 5: Solve for x
    x = 2,631,432.38/2,258.14
  6. Step 6: Final answer
    x = 1,165.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.