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Finding the Fourth Proportional to 575.66, 795.22 and 513.47

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Solution

The fourth proportional to 575.66, 795.22 and 513.47 is: 709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.66 : 795.22 = 513.47 : x
  2. Step 2: Convert to fraction form
    575.66/795.22 = 513.47/x
  3. Step 3: Cross multiply
    575.66x = 795.22 × 513.47
  4. Step 4: Simplify right side
    575.66x = 408,322.32
  5. Step 5: Solve for x
    x = 408,322.32/575.66
  6. Step 6: Final answer
    x = 709.31

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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.