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Finding the Fourth Proportional to 468.78, 645.48 and 413.52

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Solution

The fourth proportional to 468.78, 645.48 and 413.52 is: 569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.78 : 645.48 = 413.52 : x
  2. Step 2: Convert to fraction form
    468.78/645.48 = 413.52/x
  3. Step 3: Cross multiply
    468.78x = 645.48 × 413.52
  4. Step 4: Simplify right side
    468.78x = 266,918.89
  5. Step 5: Solve for x
    x = 266,918.89/468.78
  6. Step 6: Final answer
    x = 569.39

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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.