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Finding the Fourth Proportional to 942.98, 1,407.69 and 819.96

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Solution

The fourth proportional to 942.98, 1,407.69 and 819.96 is: 1,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.98 : 1,407.69 = 819.96 : x
  2. Step 2: Convert to fraction form
    942.98/1,407.69 = 819.96/x
  3. Step 3: Cross multiply
    942.98x = 1,407.69 × 819.96
  4. Step 4: Simplify right side
    942.98x = 1,154,249.49
  5. Step 5: Solve for x
    x = 1,154,249.49/942.98
  6. Step 6: Final answer
    x = 1,224.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.