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Finding the Fourth Proportional to 573.72, 860.78 and 249.04

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Solution

The fourth proportional to 573.72, 860.78 and 249.04 is: 373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.72 : 860.78 = 249.04 : x
  2. Step 2: Convert to fraction form
    573.72/860.78 = 249.04/x
  3. Step 3: Cross multiply
    573.72x = 860.78 × 249.04
  4. Step 4: Simplify right side
    573.72x = 214,368.65
  5. Step 5: Solve for x
    x = 214,368.65/573.72
  6. Step 6: Final answer
    x = 373.65

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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.