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Finding the Fourth Proportional to 1,213.93, 1,821.28 and 922.83

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Solution

The fourth proportional to 1,213.93, 1,821.28 and 922.83 is: 1,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.93 : 1,821.28 = 922.83 : x
  2. Step 2: Convert to fraction form
    1,213.93/1,821.28 = 922.83/x
  3. Step 3: Cross multiply
    1,213.93x = 1,821.28 × 922.83
  4. Step 4: Simplify right side
    1,213.93x = 1,680,719.89
  5. Step 5: Solve for x
    x = 1,680,719.89/1,213.93
  6. Step 6: Final answer
    x = 1,384.53

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1.5x scale

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.