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Finding the Fourth Proportional to 1,066.84, 1,471.65 and 682.85

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Solution

The fourth proportional to 1,066.84, 1,471.65 and 682.85 is: 941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.84 : 1,471.65 = 682.85 : x
  2. Step 2: Convert to fraction form
    1,066.84/1,471.65 = 682.85/x
  3. Step 3: Cross multiply
    1,066.84x = 1,471.65 × 682.85
  4. Step 4: Simplify right side
    1,066.84x = 1,004,916.20
  5. Step 5: Solve for x
    x = 1,004,916.20/1,066.84
  6. Step 6: Final answer
    x = 941.96

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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.