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Finding the Fourth Proportional to 942.36, 1,412.78 and 813.89

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Solution

The fourth proportional to 942.36, 1,412.78 and 813.89 is: 1,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.36 : 1,412.78 = 813.89 : x
  2. Step 2: Convert to fraction form
    942.36/1,412.78 = 813.89/x
  3. Step 3: Cross multiply
    942.36x = 1,412.78 × 813.89
  4. Step 4: Simplify right side
    942.36x = 1,149,836.38
  5. Step 5: Solve for x
    x = 1,149,836.38/942.36
  6. Step 6: Final answer
    x = 1,220.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.