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Finding the Fourth Proportional to 575.11, 858.25 and 513.60

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Solution

The fourth proportional to 575.11, 858.25 and 513.60 is: 766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.11 : 858.25 = 513.60 : x
  2. Step 2: Convert to fraction form
    575.11/858.25 = 513.60/x
  3. Step 3: Cross multiply
    575.11x = 858.25 × 513.60
  4. Step 4: Simplify right side
    575.11x = 440,797.20
  5. Step 5: Solve for x
    x = 440,797.20/575.11
  6. Step 6: Final answer
    x = 766.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.