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Finding the Fourth Proportional to 1,400.64, 2,100.66 and 413.18

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Solution

The fourth proportional to 1,400.64, 2,100.66 and 413.18 is: 619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.64 : 2,100.66 = 413.18 : x
  2. Step 2: Convert to fraction form
    1,400.64/2,100.66 = 413.18/x
  3. Step 3: Cross multiply
    1,400.64x = 2,100.66 × 413.18
  4. Step 4: Simplify right side
    1,400.64x = 867,948.63
  5. Step 5: Solve for x
    x = 867,948.63/1,400.64
  6. Step 6: Final answer
    x = 619.68

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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.