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Finding the Fourth Proportional to 573.07, 790.26 and 490.45

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Solution

The fourth proportional to 573.07, 790.26 and 490.45 is: 676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.07 : 790.26 = 490.45 : x
  2. Step 2: Convert to fraction form
    573.07/790.26 = 490.45/x
  3. Step 3: Cross multiply
    573.07x = 790.26 × 490.45
  4. Step 4: Simplify right side
    573.07x = 387,580.56
  5. Step 5: Solve for x
    x = 387,580.56/573.07
  6. Step 6: Final answer
    x = 676.32

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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.