Home / 1,154.06-1,731.11-413.72

Finding the Fourth Proportional to 1,154.06, 1,731.11 and 413.72

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Solution

The fourth proportional to 1,154.06, 1,731.11 and 413.72 is: 620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.06 : 1,731.11 = 413.72 : x
  2. Step 2: Convert to fraction form
    1,154.06/1,731.11 = 413.72/x
  3. Step 3: Cross multiply
    1,154.06x = 1,731.11 × 413.72
  4. Step 4: Simplify right side
    1,154.06x = 716,193.70
  5. Step 5: Solve for x
    x = 716,193.70/1,154.06
  6. Step 6: Final answer
    x = 620.59

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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.