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Finding the Fourth Proportional to 419.31, 575.24 and 414.86

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Solution

The fourth proportional to 419.31, 575.24 and 414.86 is: 569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.31 : 575.24 = 414.86 : x
  2. Step 2: Convert to fraction form
    419.31/575.24 = 414.86/x
  3. Step 3: Cross multiply
    419.31x = 575.24 × 414.86
  4. Step 4: Simplify right side
    419.31x = 238,639.12
  5. Step 5: Solve for x
    x = 238,639.12/419.31
  6. Step 6: Final answer
    x = 569.12

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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.