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Finding the Fourth Proportional to 1,486.64, 2,051.57 and 823.49

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Solution

The fourth proportional to 1,486.64, 2,051.57 and 823.49 is: 1,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.64 : 2,051.57 = 823.49 : x
  2. Step 2: Convert to fraction form
    1,486.64/2,051.57 = 823.49/x
  3. Step 3: Cross multiply
    1,486.64x = 2,051.57 × 823.49
  4. Step 4: Simplify right side
    1,486.64x = 1,689,447.38
  5. Step 5: Solve for x
    x = 1,689,447.38/1,486.64
  6. Step 6: Final answer
    x = 1,136.42

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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.