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Finding the Fourth Proportional to 589.88, 809.52 and 534.48

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Solution

The fourth proportional to 589.88, 809.52 and 534.48 is: 733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 809.52 = 534.48 : x
  2. Step 2: Convert to fraction form
    589.88/809.52 = 534.48/x
  3. Step 3: Cross multiply
    589.88x = 809.52 × 534.48
  4. Step 4: Simplify right side
    589.88x = 432,672.25
  5. Step 5: Solve for x
    x = 432,672.25/589.88
  6. Step 6: Final answer
    x = 733.49

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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.