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Finding the Fourth Proportional to 573.80, 860.63 and 265.55

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Solution

The fourth proportional to 573.80, 860.63 and 265.55 is: 398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.80 : 860.63 = 265.55 : x
  2. Step 2: Convert to fraction form
    573.80/860.63 = 265.55/x
  3. Step 3: Cross multiply
    573.80x = 860.63 × 265.55
  4. Step 4: Simplify right side
    573.80x = 228,534.67
  5. Step 5: Solve for x
    x = 228,534.67/573.80
  6. Step 6: Final answer
    x = 398.29

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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.