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Finding the Fourth Proportional to 1,066.56, 1,471.68 and 673.32

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Solution

The fourth proportional to 1,066.56, 1,471.68 and 673.32 is: 929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.56 : 1,471.68 = 673.32 : x
  2. Step 2: Convert to fraction form
    1,066.56/1,471.68 = 673.32/x
  3. Step 3: Cross multiply
    1,066.56x = 1,471.68 × 673.32
  4. Step 4: Simplify right side
    1,066.56x = 990,911.58
  5. Step 5: Solve for x
    x = 990,911.58/1,066.56
  6. Step 6: Final answer
    x = 929.07

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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.