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Finding the Fourth Proportional to 571.33, 787.80 and 413.65

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Solution

The fourth proportional to 571.33, 787.80 and 413.65 is: 570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.33 : 787.80 = 413.65 : x
  2. Step 2: Convert to fraction form
    571.33/787.80 = 413.65/x
  3. Step 3: Cross multiply
    571.33x = 787.80 × 413.65
  4. Step 4: Simplify right side
    571.33x = 325,873.47
  5. Step 5: Solve for x
    x = 325,873.47/571.33
  6. Step 6: Final answer
    x = 570.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.