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Finding the Fourth Proportional to 575.61, 788.81 and 520.26

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Solution

The fourth proportional to 575.61, 788.81 and 520.26 is: 712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.61 : 788.81 = 520.26 : x
  2. Step 2: Convert to fraction form
    575.61/788.81 = 520.26/x
  3. Step 3: Cross multiply
    575.61x = 788.81 × 520.26
  4. Step 4: Simplify right side
    575.61x = 410,382.35
  5. Step 5: Solve for x
    x = 410,382.35/575.61
  6. Step 6: Final answer
    x = 712.95

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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.