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Finding the Fourth Proportional to 1,655.44, 2,483.12 and 765.85

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Solution

The fourth proportional to 1,655.44, 2,483.12 and 765.85 is: 1,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.44 : 2,483.12 = 765.85 : x
  2. Step 2: Convert to fraction form
    1,655.44/2,483.12 = 765.85/x
  3. Step 3: Cross multiply
    1,655.44x = 2,483.12 × 765.85
  4. Step 4: Simplify right side
    1,655.44x = 1,901,693.62
  5. Step 5: Solve for x
    x = 1,901,693.62/1,655.44
  6. Step 6: Final answer
    x = 1,148.75

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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.