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Finding the Fourth Proportional to 573.35, 855.98 and 538.58

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Solution

The fourth proportional to 573.35, 855.98 and 538.58 is: 804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.35 : 855.98 = 538.58 : x
  2. Step 2: Convert to fraction form
    573.35/855.98 = 538.58/x
  3. Step 3: Cross multiply
    573.35x = 855.98 × 538.58
  4. Step 4: Simplify right side
    573.35x = 461,018.20
  5. Step 5: Solve for x
    x = 461,018.20/573.35
  6. Step 6: Final answer
    x = 804.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.