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Finding the Fourth Proportional to 1,775.58, 2,663.37 and 665.24

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Solution

The fourth proportional to 1,775.58, 2,663.37 and 665.24 is: 997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.58 : 2,663.37 = 665.24 : x
  2. Step 2: Convert to fraction form
    1,775.58/2,663.37 = 665.24/x
  3. Step 3: Cross multiply
    1,775.58x = 2,663.37 × 665.24
  4. Step 4: Simplify right side
    1,775.58x = 1,771,766.94
  5. Step 5: Solve for x
    x = 1,771,766.94/1,775.58
  6. Step 6: Final answer
    x = 997.85

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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.