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Finding the Fourth Proportional to 1,412.95, 1,949.98 and 823.44

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Solution

The fourth proportional to 1,412.95, 1,949.98 and 823.44 is: 1,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.95 : 1,949.98 = 823.44 : x
  2. Step 2: Convert to fraction form
    1,412.95/1,949.98 = 823.44/x
  3. Step 3: Cross multiply
    1,412.95x = 1,949.98 × 823.44
  4. Step 4: Simplify right side
    1,412.95x = 1,605,691.53
  5. Step 5: Solve for x
    x = 1,605,691.53/1,412.95
  6. Step 6: Final answer
    x = 1,136.41

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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.