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Finding the Fourth Proportional to 573.89, 857.68 and 418.77

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Solution

The fourth proportional to 573.89, 857.68 and 418.77 is: 625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.89 : 857.68 = 418.77 : x
  2. Step 2: Convert to fraction form
    573.89/857.68 = 418.77/x
  3. Step 3: Cross multiply
    573.89x = 857.68 × 418.77
  4. Step 4: Simplify right side
    573.89x = 359,169.61
  5. Step 5: Solve for x
    x = 359,169.61/573.89
  6. Step 6: Final answer
    x = 625.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.