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Finding the Fourth Proportional to 1,919.48, 2,878.54 and 669.76

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Solution

The fourth proportional to 1,919.48, 2,878.54 and 669.76 is: 1,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.48 : 2,878.54 = 669.76 : x
  2. Step 2: Convert to fraction form
    1,919.48/2,878.54 = 669.76/x
  3. Step 3: Cross multiply
    1,919.48x = 2,878.54 × 669.76
  4. Step 4: Simplify right side
    1,919.48x = 1,927,913.21
  5. Step 5: Solve for x
    x = 1,927,913.21/1,919.48
  6. Step 6: Final answer
    x = 1,004.39

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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.