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Finding the Fourth Proportional to 1,539.49, 2,308.18 and 758.55

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Solution

The fourth proportional to 1,539.49, 2,308.18 and 758.55 is: 1,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.49 : 2,308.18 = 758.55 : x
  2. Step 2: Convert to fraction form
    1,539.49/2,308.18 = 758.55/x
  3. Step 3: Cross multiply
    1,539.49x = 2,308.18 × 758.55
  4. Step 4: Simplify right side
    1,539.49x = 1,750,869.94
  5. Step 5: Solve for x
    x = 1,750,869.94/1,539.49
  6. Step 6: Final answer
    x = 1,137.31

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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.