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Finding the Fourth Proportional to 414.16, 575.28 and 407.54

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Solution

The fourth proportional to 414.16, 575.28 and 407.54 is: 566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.16 : 575.28 = 407.54 : x
  2. Step 2: Convert to fraction form
    414.16/575.28 = 407.54/x
  3. Step 3: Cross multiply
    414.16x = 575.28 × 407.54
  4. Step 4: Simplify right side
    414.16x = 234,449.61
  5. Step 5: Solve for x
    x = 234,449.61/414.16
  6. Step 6: Final answer
    x = 566.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.