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Finding the Fourth Proportional to 1,413.80, 2,120.58 and 440

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Solution

The fourth proportional to 1,413.80, 2,120.58 and 440 is: 659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.80 : 2,120.58 = 440 : x
  2. Step 2: Convert to fraction form
    1,413.80/2,120.58 = 440/x
  3. Step 3: Cross multiply
    1,413.80x = 2,120.58 × 440
  4. Step 4: Simplify right side
    1,413.80x = 933,055.20
  5. Step 5: Solve for x
    x = 933,055.20/1,413.80
  6. Step 6: Final answer
    x = 659.96

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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.