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Finding the Fourth Proportional to 2,359.64, 3,539.70 and 628.44

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Solution

The fourth proportional to 2,359.64, 3,539.70 and 628.44 is: 942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.64 : 3,539.70 = 628.44 : x
  2. Step 2: Convert to fraction form
    2,359.64/3,539.70 = 628.44/x
  3. Step 3: Cross multiply
    2,359.64x = 3,539.70 × 628.44
  4. Step 4: Simplify right side
    2,359.64x = 2,224,489.07
  5. Step 5: Solve for x
    x = 2,224,489.07/2,359.64
  6. Step 6: Final answer
    x = 942.72

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1.5x scale

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.