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Finding the Fourth Proportional to 824.33, 1,235.73 and 413.11

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Solution

The fourth proportional to 824.33, 1,235.73 and 413.11 is: 619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.33 : 1,235.73 = 413.11 : x
  2. Step 2: Convert to fraction form
    824.33/1,235.73 = 413.11/x
  3. Step 3: Cross multiply
    824.33x = 1,235.73 × 413.11
  4. Step 4: Simplify right side
    824.33x = 510,495.51
  5. Step 5: Solve for x
    x = 510,495.51/824.33
  6. Step 6: Final answer
    x = 619.28

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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.