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Finding the Fourth Proportional to 1,412.71, 1,949.66 and 823.43

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Solution

The fourth proportional to 1,412.71, 1,949.66 and 823.43 is: 1,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.71 : 1,949.66 = 823.43 : x
  2. Step 2: Convert to fraction form
    1,412.71/1,949.66 = 823.43/x
  3. Step 3: Cross multiply
    1,412.71x = 1,949.66 × 823.43
  4. Step 4: Simplify right side
    1,412.71x = 1,605,408.53
  5. Step 5: Solve for x
    x = 1,605,408.53/1,412.71
  6. Step 6: Final answer
    x = 1,136.40

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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.