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Finding the Fourth Proportional to 419.68, 575.52 and 399.52

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Solution

The fourth proportional to 419.68, 575.52 and 399.52 is: 547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.68 : 575.52 = 399.52 : x
  2. Step 2: Convert to fraction form
    419.68/575.52 = 399.52/x
  3. Step 3: Cross multiply
    419.68x = 575.52 × 399.52
  4. Step 4: Simplify right side
    419.68x = 229,931.75
  5. Step 5: Solve for x
    x = 229,931.75/419.68
  6. Step 6: Final answer
    x = 547.87

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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.