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Finding the Fourth Proportional to 1,055.84, 1,456.12 and 682.84

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Solution

The fourth proportional to 1,055.84, 1,456.12 and 682.84 is: 941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.84 : 1,456.12 = 682.84 : x
  2. Step 2: Convert to fraction form
    1,055.84/1,456.12 = 682.84/x
  3. Step 3: Cross multiply
    1,055.84x = 1,456.12 × 682.84
  4. Step 4: Simplify right side
    1,055.84x = 994,296.98
  5. Step 5: Solve for x
    x = 994,296.98/1,055.84
  6. Step 6: Final answer
    x = 941.71

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1.5x scale

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.