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Finding the Fourth Proportional to 942.29, 1,412.62 and 551.33

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Solution

The fourth proportional to 942.29, 1,412.62 and 551.33 is: 826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.29 : 1,412.62 = 551.33 : x
  2. Step 2: Convert to fraction form
    942.29/1,412.62 = 551.33/x
  3. Step 3: Cross multiply
    942.29x = 1,412.62 × 551.33
  4. Step 4: Simplify right side
    942.29x = 778,819.78
  5. Step 5: Solve for x
    x = 778,819.78/942.29
  6. Step 6: Final answer
    x = 826.52

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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.