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Finding the Fourth Proportional to 2,359.71, 3,539.67 and 628.35

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Solution

The fourth proportional to 2,359.71, 3,539.67 and 628.35 is: 942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.71 : 3,539.67 = 628.35 : x
  2. Step 2: Convert to fraction form
    2,359.71/3,539.67 = 628.35/x
  3. Step 3: Cross multiply
    2,359.71x = 3,539.67 × 628.35
  4. Step 4: Simplify right side
    2,359.71x = 2,224,151.64
  5. Step 5: Solve for x
    x = 2,224,151.64/2,359.71
  6. Step 6: Final answer
    x = 942.55

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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.