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Finding the Fourth Proportional to 1,055.05, 1,582.03 and 561.73

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Solution

The fourth proportional to 1,055.05, 1,582.03 and 561.73 is: 842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.05 : 1,582.03 = 561.73 : x
  2. Step 2: Convert to fraction form
    1,055.05/1,582.03 = 561.73/x
  3. Step 3: Cross multiply
    1,055.05x = 1,582.03 × 561.73
  4. Step 4: Simplify right side
    1,055.05x = 888,680.05
  5. Step 5: Solve for x
    x = 888,680.05/1,055.05
  6. Step 6: Final answer
    x = 842.31

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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.