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Finding the Fourth Proportional to 573.90, 804.90 and 573.90

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Solution

The fourth proportional to 573.90, 804.90 and 573.90 is: 804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.90 : 804.90 = 573.90 : x
  2. Step 2: Convert to fraction form
    573.90/804.90 = 573.90/x
  3. Step 3: Cross multiply
    573.90x = 804.90 × 573.90
  4. Step 4: Simplify right side
    573.90x = 461,932.11
  5. Step 5: Solve for x
    x = 461,932.11/573.90
  6. Step 6: Final answer
    x = 804.90

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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.