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Finding the Fourth Proportional to 1,066.50, 1,471.79 and 600.75

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Solution

The fourth proportional to 1,066.50, 1,471.79 and 600.75 is: 829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.50 : 1,471.79 = 600.75 : x
  2. Step 2: Convert to fraction form
    1,066.50/1,471.79 = 600.75/x
  3. Step 3: Cross multiply
    1,066.50x = 1,471.79 × 600.75
  4. Step 4: Simplify right side
    1,066.50x = 884,174.84
  5. Step 5: Solve for x
    x = 884,174.84/1,066.50
  6. Step 6: Final answer
    x = 829.04

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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.