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Finding the Fourth Proportional to 575.29, 788.37 and 519.93

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Solution

The fourth proportional to 575.29, 788.37 and 519.93 is: 712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.29 : 788.37 = 519.93 : x
  2. Step 2: Convert to fraction form
    575.29/788.37 = 519.93/x
  3. Step 3: Cross multiply
    575.29x = 788.37 × 519.93
  4. Step 4: Simplify right side
    575.29x = 409,894.43
  5. Step 5: Solve for x
    x = 409,894.43/575.29
  6. Step 6: Final answer
    x = 712.50

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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.