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Finding the Fourth Proportional to 534.22, 732.80 and 529.60

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Solution

The fourth proportional to 534.22, 732.80 and 529.60 is: 726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.22 : 732.80 = 529.60 : x
  2. Step 2: Convert to fraction form
    534.22/732.80 = 529.60/x
  3. Step 3: Cross multiply
    534.22x = 732.80 × 529.60
  4. Step 4: Simplify right side
    534.22x = 388,090.88
  5. Step 5: Solve for x
    x = 388,090.88/534.22
  6. Step 6: Final answer
    x = 726.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.