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Finding the Fourth Proportional to 2,455.43, 3,683.15 and 700.21

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Solution

The fourth proportional to 2,455.43, 3,683.15 and 700.21 is: 1,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.43 : 3,683.15 = 700.21 : x
  2. Step 2: Convert to fraction form
    2,455.43/3,683.15 = 700.21/x
  3. Step 3: Cross multiply
    2,455.43x = 3,683.15 × 700.21
  4. Step 4: Simplify right side
    2,455.43x = 2,578,978.46
  5. Step 5: Solve for x
    x = 2,578,978.46/2,455.43
  6. Step 6: Final answer
    x = 1,050.32

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Why These Related Problems?

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