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Finding the Fourth Proportional to 573.80, 793.38 and 500.90

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Solution

The fourth proportional to 573.80, 793.38 and 500.90 is: 692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.80 : 793.38 = 500.90 : x
  2. Step 2: Convert to fraction form
    573.80/793.38 = 500.90/x
  3. Step 3: Cross multiply
    573.80x = 793.38 × 500.90
  4. Step 4: Simplify right side
    573.80x = 397,404.04
  5. Step 5: Solve for x
    x = 397,404.04/573.80
  6. Step 6: Final answer
    x = 692.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.