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Finding the Fourth Proportional to 2,378.22, 3,567.35 and 646.85

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Solution

The fourth proportional to 2,378.22, 3,567.35 and 646.85 is: 970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.22 : 3,567.35 = 646.85 : x
  2. Step 2: Convert to fraction form
    2,378.22/3,567.35 = 646.85/x
  3. Step 3: Cross multiply
    2,378.22x = 3,567.35 × 646.85
  4. Step 4: Simplify right side
    2,378.22x = 2,307,519.28
  5. Step 5: Solve for x
    x = 2,307,519.28/2,378.22
  6. Step 6: Final answer
    x = 970.27

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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.