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Finding the Fourth Proportional to 503.80, 764.48 and 503.80

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Solution

The fourth proportional to 503.80, 764.48 and 503.80 is: 764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.80 : 764.48 = 503.80 : x
  2. Step 2: Convert to fraction form
    503.80/764.48 = 503.80/x
  3. Step 3: Cross multiply
    503.80x = 764.48 × 503.80
  4. Step 4: Simplify right side
    503.80x = 385,145.02
  5. Step 5: Solve for x
    x = 385,145.02/503.80
  6. Step 6: Final answer
    x = 764.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.