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Finding the Fourth Proportional to 573.80, 860.85 and 486.23

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Solution

The fourth proportional to 573.80, 860.85 and 486.23 is: 729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.80 : 860.85 = 486.23 : x
  2. Step 2: Convert to fraction form
    573.80/860.85 = 486.23/x
  3. Step 3: Cross multiply
    573.80x = 860.85 × 486.23
  4. Step 4: Simplify right side
    573.80x = 418,566.79
  5. Step 5: Solve for x
    x = 418,566.79/573.80
  6. Step 6: Final answer
    x = 729.47

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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.