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Finding the Fourth Proportional to 414.17, 570.35 and 354.92

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Solution

The fourth proportional to 414.17, 570.35 and 354.92 is: 488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.17 : 570.35 = 354.92 : x
  2. Step 2: Convert to fraction form
    414.17/570.35 = 354.92/x
  3. Step 3: Cross multiply
    414.17x = 570.35 × 354.92
  4. Step 4: Simplify right side
    414.17x = 202,430.94
  5. Step 5: Solve for x
    x = 202,430.94/414.17
  6. Step 6: Final answer
    x = 488.77

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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.