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Finding the Fourth Proportional to 573.56, 862.42 and 528.46

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Solution

The fourth proportional to 573.56, 862.42 and 528.46 is: 794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.56 : 862.42 = 528.46 : x
  2. Step 2: Convert to fraction form
    573.56/862.42 = 528.46/x
  3. Step 3: Cross multiply
    573.56x = 862.42 × 528.46
  4. Step 4: Simplify right side
    573.56x = 455,748.84
  5. Step 5: Solve for x
    x = 455,748.84/573.56
  6. Step 6: Final answer
    x = 794.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.