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Finding the Fourth Proportional to 1,539.99, 2,308.74 and 673.71

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Solution

The fourth proportional to 1,539.99, 2,308.74 and 673.71 is: 1,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.99 : 2,308.74 = 673.71 : x
  2. Step 2: Convert to fraction form
    1,539.99/2,308.74 = 673.71/x
  3. Step 3: Cross multiply
    1,539.99x = 2,308.74 × 673.71
  4. Step 4: Simplify right side
    1,539.99x = 1,555,421.23
  5. Step 5: Solve for x
    x = 1,555,421.23/1,539.99
  6. Step 6: Final answer
    x = 1,010.02

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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.