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Finding the Fourth Proportional to 1,055.74, 1,583.84 and 362.38

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Solution

The fourth proportional to 1,055.74, 1,583.84 and 362.38 is: 543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.74 : 1,583.84 = 362.38 : x
  2. Step 2: Convert to fraction form
    1,055.74/1,583.84 = 362.38/x
  3. Step 3: Cross multiply
    1,055.74x = 1,583.84 × 362.38
  4. Step 4: Simplify right side
    1,055.74x = 573,951.94
  5. Step 5: Solve for x
    x = 573,951.94/1,055.74
  6. Step 6: Final answer
    x = 543.65

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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.