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Finding the Fourth Proportional to 1,066.00, 1,471.09 and 623.81

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Solution

The fourth proportional to 1,066.00, 1,471.09 and 623.81 is: 860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.00 : 1,471.09 = 623.81 : x
  2. Step 2: Convert to fraction form
    1,066.00/1,471.09 = 623.81/x
  3. Step 3: Cross multiply
    1,066.00x = 1,471.09 × 623.81
  4. Step 4: Simplify right side
    1,066.00x = 917,682.77
  5. Step 5: Solve for x
    x = 917,682.77/1,066.00
  6. Step 6: Final answer
    x = 860.87

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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.