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Finding the Fourth Proportional to 587.80, 809.52 and 575.05

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Solution

The fourth proportional to 587.80, 809.52 and 575.05 is: 791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.80 : 809.52 = 575.05 : x
  2. Step 2: Convert to fraction form
    587.80/809.52 = 575.05/x
  3. Step 3: Cross multiply
    587.80x = 809.52 × 575.05
  4. Step 4: Simplify right side
    587.80x = 465,510.43
  5. Step 5: Solve for x
    x = 465,510.43/587.80
  6. Step 6: Final answer
    x = 791.95

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