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Finding the Fourth Proportional to 575.39, 862.80 and 465.43

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Solution

The fourth proportional to 575.39, 862.80 and 465.43 is: 697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.39 : 862.80 = 465.43 : x
  2. Step 2: Convert to fraction form
    575.39/862.80 = 465.43/x
  3. Step 3: Cross multiply
    575.39x = 862.80 × 465.43
  4. Step 4: Simplify right side
    575.39x = 401,573.00
  5. Step 5: Solve for x
    x = 401,573.00/575.39
  6. Step 6: Final answer
    x = 697.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.