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Finding the Fourth Proportional to 1,066.84, 1,600.31 and 286.91

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Solution

The fourth proportional to 1,066.84, 1,600.31 and 286.91 is: 430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.84 : 1,600.31 = 286.91 : x
  2. Step 2: Convert to fraction form
    1,066.84/1,600.31 = 286.91/x
  3. Step 3: Cross multiply
    1,066.84x = 1,600.31 × 286.91
  4. Step 4: Simplify right side
    1,066.84x = 459,142.05
  5. Step 5: Solve for x
    x = 459,142.05/1,066.84
  6. Step 6: Final answer
    x = 430.38

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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.