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Finding the Fourth Proportional to 571.54, 787.57 and 413.89

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Solution

The fourth proportional to 571.54, 787.57 and 413.89 is: 570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.54 : 787.57 = 413.89 : x
  2. Step 2: Convert to fraction form
    571.54/787.57 = 413.89/x
  3. Step 3: Cross multiply
    571.54x = 787.57 × 413.89
  4. Step 4: Simplify right side
    571.54x = 325,971.10
  5. Step 5: Solve for x
    x = 325,971.10/571.54
  6. Step 6: Final answer
    x = 570.34

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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.