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Finding the Fourth Proportional to 1,153.78, 1,730.22 and 413.38

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Solution

The fourth proportional to 1,153.78, 1,730.22 and 413.38 is: 619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.78 : 1,730.22 = 413.38 : x
  2. Step 2: Convert to fraction form
    1,153.78/1,730.22 = 413.38/x
  3. Step 3: Cross multiply
    1,153.78x = 1,730.22 × 413.38
  4. Step 4: Simplify right side
    1,153.78x = 715,238.34
  5. Step 5: Solve for x
    x = 715,238.34/1,153.78
  6. Step 6: Final answer
    x = 619.91

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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.