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Finding the Fourth Proportional to 589.52, 811.68 and 500.82

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Solution

The fourth proportional to 589.52, 811.68 and 500.82 is: 689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.52 : 811.68 = 500.82 : x
  2. Step 2: Convert to fraction form
    589.52/811.68 = 500.82/x
  3. Step 3: Cross multiply
    589.52x = 811.68 × 500.82
  4. Step 4: Simplify right side
    589.52x = 406,505.58
  5. Step 5: Solve for x
    x = 406,505.58/589.52
  6. Step 6: Final answer
    x = 689.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.