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Finding the Fourth Proportional to 414.72, 570.54 and 403.18

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Solution

The fourth proportional to 414.72, 570.54 and 403.18 is: 554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 570.54 = 403.18 : x
  2. Step 2: Convert to fraction form
    414.72/570.54 = 403.18/x
  3. Step 3: Cross multiply
    414.72x = 570.54 × 403.18
  4. Step 4: Simplify right side
    414.72x = 230,030.40
  5. Step 5: Solve for x
    x = 230,030.40/414.72
  6. Step 6: Final answer
    x = 554.66

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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.