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Finding the Fourth Proportional to 1,579.44, 2,179.53 and 916.50

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Solution

The fourth proportional to 1,579.44, 2,179.53 and 916.50 is: 1,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.44 : 2,179.53 = 916.50 : x
  2. Step 2: Convert to fraction form
    1,579.44/2,179.53 = 916.50/x
  3. Step 3: Cross multiply
    1,579.44x = 2,179.53 × 916.50
  4. Step 4: Simplify right side
    1,579.44x = 1,997,539.25
  5. Step 5: Solve for x
    x = 1,997,539.25/1,579.44
  6. Step 6: Final answer
    x = 1,264.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.