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Finding the Fourth Proportional to 2,455.31, 3,682.40 and 700.28

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Solution

The fourth proportional to 2,455.31, 3,682.40 and 700.28 is: 1,050.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.31 : 3,682.40 = 700.28 : x
  2. Step 2: Convert to fraction form
    2,455.31/3,682.40 = 700.28/x
  3. Step 3: Cross multiply
    2,455.31x = 3,682.40 × 700.28
  4. Step 4: Simplify right side
    2,455.31x = 2,578,689.16
  5. Step 5: Solve for x
    x = 2,578,689.16/2,455.31
  6. Step 6: Final answer
    x = 1,050.25

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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.