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Finding the Fourth Proportional to 1,775.69, 2,662.01 and 679.29

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Solution

The fourth proportional to 1,775.69, 2,662.01 and 679.29 is: 1,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.69 : 2,662.01 = 679.29 : x
  2. Step 2: Convert to fraction form
    1,775.69/2,662.01 = 679.29/x
  3. Step 3: Cross multiply
    1,775.69x = 2,662.01 × 679.29
  4. Step 4: Simplify right side
    1,775.69x = 1,808,276.77
  5. Step 5: Solve for x
    x = 1,808,276.77/1,775.69
  6. Step 6: Final answer
    x = 1,018.35

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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.