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Finding the Fourth Proportional to 1,412.04, 1,948.62 and 822.42

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Solution

The fourth proportional to 1,412.04, 1,948.62 and 822.42 is: 1,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.04 : 1,948.62 = 822.42 : x
  2. Step 2: Convert to fraction form
    1,412.04/1,948.62 = 822.42/x
  3. Step 3: Cross multiply
    1,412.04x = 1,948.62 × 822.42
  4. Step 4: Simplify right side
    1,412.04x = 1,602,584.06
  5. Step 5: Solve for x
    x = 1,602,584.06/1,412.04
  6. Step 6: Final answer
    x = 1,134.94

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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.