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Finding the Fourth Proportional to 534.08, 730.69 and 531.77

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Solution

The fourth proportional to 534.08, 730.69 and 531.77 is: 727.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.08 : 730.69 = 531.77 : x
  2. Step 2: Convert to fraction form
    534.08/730.69 = 531.77/x
  3. Step 3: Cross multiply
    534.08x = 730.69 × 531.77
  4. Step 4: Simplify right side
    534.08x = 388,559.52
  5. Step 5: Solve for x
    x = 388,559.52/534.08
  6. Step 6: Final answer
    x = 727.53

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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.