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Finding the Fourth Proportional to 573.70, 804.80 and 573.70

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Solution

The fourth proportional to 573.70, 804.80 and 573.70 is: 804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.70 : 804.80 = 573.70 : x
  2. Step 2: Convert to fraction form
    573.70/804.80 = 573.70/x
  3. Step 3: Cross multiply
    573.70x = 804.80 × 573.70
  4. Step 4: Simplify right side
    573.70x = 461,713.76
  5. Step 5: Solve for x
    x = 461,713.76/573.70
  6. Step 6: Final answer
    x = 804.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.