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Finding the Fourth Proportional to 1,205, 1,807.80 and 555.60

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Solution

The fourth proportional to 1,205, 1,807.80 and 555.60 is: 833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205 : 1,807.80 = 555.60 : x
  2. Step 2: Convert to fraction form
    1,205/1,807.80 = 555.60/x
  3. Step 3: Cross multiply
    1,205x = 1,807.80 × 555.60
  4. Step 4: Simplify right side
    1,205x = 1,004,413.68
  5. Step 5: Solve for x
    x = 1,004,413.68/1,205
  6. Step 6: Final answer
    x = 833.54

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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.