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Finding the Fourth Proportional to 2,359.50, 3,539.28 and 628.14

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Solution

The fourth proportional to 2,359.50, 3,539.28 and 628.14 is: 942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.50 : 3,539.28 = 628.14 : x
  2. Step 2: Convert to fraction form
    2,359.50/3,539.28 = 628.14/x
  3. Step 3: Cross multiply
    2,359.50x = 3,539.28 × 628.14
  4. Step 4: Simplify right side
    2,359.50x = 2,223,163.34
  5. Step 5: Solve for x
    x = 2,223,163.34/2,359.50
  6. Step 6: Final answer
    x = 942.22

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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.