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Finding the Fourth Proportional to 1,413.90, 2,122.05 and 635.10

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Solution

The fourth proportional to 1,413.90, 2,122.05 and 635.10 is: 953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.90 : 2,122.05 = 635.10 : x
  2. Step 2: Convert to fraction form
    1,413.90/2,122.05 = 635.10/x
  3. Step 3: Cross multiply
    1,413.90x = 2,122.05 × 635.10
  4. Step 4: Simplify right side
    1,413.90x = 1,347,713.96
  5. Step 5: Solve for x
    x = 1,347,713.96/1,413.90
  6. Step 6: Final answer
    x = 953.19

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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.