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Finding the Fourth Proportional to 1,066.70, 1,471.28 and 694.01

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Solution

The fourth proportional to 1,066.70, 1,471.28 and 694.01 is: 957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.70 : 1,471.28 = 694.01 : x
  2. Step 2: Convert to fraction form
    1,066.70/1,471.28 = 694.01/x
  3. Step 3: Cross multiply
    1,066.70x = 1,471.28 × 694.01
  4. Step 4: Simplify right side
    1,066.70x = 1,021,072.21
  5. Step 5: Solve for x
    x = 1,021,072.21/1,066.70
  6. Step 6: Final answer
    x = 957.23

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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.