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Finding the Fourth Proportional to 1,144.86, 1,579.94 and 647.49

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Solution

The fourth proportional to 1,144.86, 1,579.94 and 647.49 is: 893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.86 : 1,579.94 = 647.49 : x
  2. Step 2: Convert to fraction form
    1,144.86/1,579.94 = 647.49/x
  3. Step 3: Cross multiply
    1,144.86x = 1,579.94 × 647.49
  4. Step 4: Simplify right side
    1,144.86x = 1,022,992.11
  5. Step 5: Solve for x
    x = 1,022,992.11/1,144.86
  6. Step 6: Final answer
    x = 893.55

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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.