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Finding the Fourth Proportional to 2,359.59, 3,539.31 and 628.21

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Solution

The fourth proportional to 2,359.59, 3,539.31 and 628.21 is: 942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.59 : 3,539.31 = 628.21 : x
  2. Step 2: Convert to fraction form
    2,359.59/3,539.31 = 628.21/x
  3. Step 3: Cross multiply
    2,359.59x = 3,539.31 × 628.21
  4. Step 4: Simplify right side
    2,359.59x = 2,223,429.94
  5. Step 5: Solve for x
    x = 2,223,429.94/2,359.59
  6. Step 6: Final answer
    x = 942.30

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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.