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Finding the Fourth Proportional to 518.89, 714.17 and 413.64

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Solution

The fourth proportional to 518.89, 714.17 and 413.64 is: 569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.89 : 714.17 = 413.64 : x
  2. Step 2: Convert to fraction form
    518.89/714.17 = 413.64/x
  3. Step 3: Cross multiply
    518.89x = 714.17 × 413.64
  4. Step 4: Simplify right side
    518.89x = 295,411.00
  5. Step 5: Solve for x
    x = 295,411.00/518.89
  6. Step 6: Final answer
    x = 569.31

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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.