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Finding the Fourth Proportional to 1,066.96, 1,600.38 and 286.99

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Solution

The fourth proportional to 1,066.96, 1,600.38 and 286.99 is: 430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.96 : 1,600.38 = 286.99 : x
  2. Step 2: Convert to fraction form
    1,066.96/1,600.38 = 286.99/x
  3. Step 3: Cross multiply
    1,066.96x = 1,600.38 × 286.99
  4. Step 4: Simplify right side
    1,066.96x = 459,288.74
  5. Step 5: Solve for x
    x = 459,288.74/1,066.96
  6. Step 6: Final answer
    x = 430.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.