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Finding the Fourth Proportional to 1,055.79, 1,583.67 and 286.29

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Solution

The fourth proportional to 1,055.79, 1,583.67 and 286.29 is: 429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.79 : 1,583.67 = 286.29 : x
  2. Step 2: Convert to fraction form
    1,055.79/1,583.67 = 286.29/x
  3. Step 3: Cross multiply
    1,055.79x = 1,583.67 × 286.29
  4. Step 4: Simplify right side
    1,055.79x = 453,388.88
  5. Step 5: Solve for x
    x = 453,388.88/1,055.79
  6. Step 6: Final answer
    x = 429.43

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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.