Home / 1,116.13-1,674.27-413.40

Finding the Fourth Proportional to 1,116.13, 1,674.27 and 413.40

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Solution

The fourth proportional to 1,116.13, 1,674.27 and 413.40 is: 620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.13 : 1,674.27 = 413.40 : x
  2. Step 2: Convert to fraction form
    1,116.13/1,674.27 = 413.40/x
  3. Step 3: Cross multiply
    1,116.13x = 1,674.27 × 413.40
  4. Step 4: Simplify right side
    1,116.13x = 692,149.50
  5. Step 5: Solve for x
    x = 692,149.50/1,116.13
  6. Step 6: Final answer
    x = 620.13

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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.