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Finding the Fourth Proportional to 1,212.32, 1,670.73 and 838.63

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Solution

The fourth proportional to 1,212.32, 1,670.73 and 838.63 is: 1,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.32 : 1,670.73 = 838.63 : x
  2. Step 2: Convert to fraction form
    1,212.32/1,670.73 = 838.63/x
  3. Step 3: Cross multiply
    1,212.32x = 1,670.73 × 838.63
  4. Step 4: Simplify right side
    1,212.32x = 1,401,124.30
  5. Step 5: Solve for x
    x = 1,401,124.30/1,212.32
  6. Step 6: Final answer
    x = 1,155.74

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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.