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Finding the Fourth Proportional to 417.38, 574.80 and 409.28

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Solution

The fourth proportional to 417.38, 574.80 and 409.28 is: 563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.38 : 574.80 = 409.28 : x
  2. Step 2: Convert to fraction form
    417.38/574.80 = 409.28/x
  3. Step 3: Cross multiply
    417.38x = 574.80 × 409.28
  4. Step 4: Simplify right side
    417.38x = 235,254.14
  5. Step 5: Solve for x
    x = 235,254.14/417.38
  6. Step 6: Final answer
    x = 563.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.