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Finding the Fourth Proportional to 1,770.15, 2,655.60 and 537.69

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Solution

The fourth proportional to 1,770.15, 2,655.60 and 537.69 is: 806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.15 : 2,655.60 = 537.69 : x
  2. Step 2: Convert to fraction form
    1,770.15/2,655.60 = 537.69/x
  3. Step 3: Cross multiply
    1,770.15x = 2,655.60 × 537.69
  4. Step 4: Simplify right side
    1,770.15x = 1,427,889.56
  5. Step 5: Solve for x
    x = 1,427,889.56/1,770.15
  6. Step 6: Final answer
    x = 806.65

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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.