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Finding the Fourth Proportional to 1,055.44, 1,583.16 and 285.94

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Solution

The fourth proportional to 1,055.44, 1,583.16 and 285.94 is: 428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.44 : 1,583.16 = 285.94 : x
  2. Step 2: Convert to fraction form
    1,055.44/1,583.16 = 285.94/x
  3. Step 3: Cross multiply
    1,055.44x = 1,583.16 × 285.94
  4. Step 4: Simplify right side
    1,055.44x = 452,684.81
  5. Step 5: Solve for x
    x = 452,684.81/1,055.44
  6. Step 6: Final answer
    x = 428.91

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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.