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Finding the Fourth Proportional to 575.76, 864 and 419.30

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Solution

The fourth proportional to 575.76, 864 and 419.30 is: 629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.76 : 864 = 419.30 : x
  2. Step 2: Convert to fraction form
    575.76/864 = 419.30/x
  3. Step 3: Cross multiply
    575.76x = 864 × 419.30
  4. Step 4: Simplify right side
    575.76x = 362,270.88
  5. Step 5: Solve for x
    x = 362,270.88/575.76
  6. Step 6: Final answer
    x = 629.20

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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.