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Finding the Fourth Proportional to 585.52, 803.24 and 575.80

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Solution

The fourth proportional to 585.52, 803.24 and 575.80 is: 789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.52 : 803.24 = 575.80 : x
  2. Step 2: Convert to fraction form
    585.52/803.24 = 575.80/x
  3. Step 3: Cross multiply
    585.52x = 803.24 × 575.80
  4. Step 4: Simplify right side
    585.52x = 462,505.59
  5. Step 5: Solve for x
    x = 462,505.59/585.52
  6. Step 6: Final answer
    x = 789.91

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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.