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Finding the Fourth Proportional to 572.63, 858.78 and 298.58

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Solution

The fourth proportional to 572.63, 858.78 and 298.58 is: 447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.63 : 858.78 = 298.58 : x
  2. Step 2: Convert to fraction form
    572.63/858.78 = 298.58/x
  3. Step 3: Cross multiply
    572.63x = 858.78 × 298.58
  4. Step 4: Simplify right side
    572.63x = 256,413.04
  5. Step 5: Solve for x
    x = 256,413.04/572.63
  6. Step 6: Final answer
    x = 447.78

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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.