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Finding the Fourth Proportional to 1,539.75, 2,309.65 and 513.75

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Solution

The fourth proportional to 1,539.75, 2,309.65 and 513.75 is: 770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.75 : 2,309.65 = 513.75 : x
  2. Step 2: Convert to fraction form
    1,539.75/2,309.65 = 513.75/x
  3. Step 3: Cross multiply
    1,539.75x = 2,309.65 × 513.75
  4. Step 4: Simplify right side
    1,539.75x = 1,186,580.12
  5. Step 5: Solve for x
    x = 1,186,580.12/1,539.75
  6. Step 6: Final answer
    x = 770.63

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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.