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Finding the Fourth Proportional to 414.72, 575.40 and 410.47

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Solution

The fourth proportional to 414.72, 575.40 and 410.47 is: 569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 575.40 = 410.47 : x
  2. Step 2: Convert to fraction form
    414.72/575.40 = 410.47/x
  3. Step 3: Cross multiply
    414.72x = 575.40 × 410.47
  4. Step 4: Simplify right side
    414.72x = 236,184.54
  5. Step 5: Solve for x
    x = 236,184.54/414.72
  6. Step 6: Final answer
    x = 569.50

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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.