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Finding the Fourth Proportional to 1,066.51, 1,599.60 and 286.57

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Solution

The fourth proportional to 1,066.51, 1,599.60 and 286.57 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.51 : 1,599.60 = 286.57 : x
  2. Step 2: Convert to fraction form
    1,066.51/1,599.60 = 286.57/x
  3. Step 3: Cross multiply
    1,066.51x = 1,599.60 × 286.57
  4. Step 4: Simplify right side
    1,066.51x = 458,397.37
  5. Step 5: Solve for x
    x = 458,397.37/1,066.51
  6. Step 6: Final answer
    x = 429.81

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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.