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Finding the Fourth Proportional to 414.49, 570.84 and 383.71

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Solution

The fourth proportional to 414.49, 570.84 and 383.71 is: 528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.49 : 570.84 = 383.71 : x
  2. Step 2: Convert to fraction form
    414.49/570.84 = 383.71/x
  3. Step 3: Cross multiply
    414.49x = 570.84 × 383.71
  4. Step 4: Simplify right side
    414.49x = 219,037.02
  5. Step 5: Solve for x
    x = 219,037.02/414.49
  6. Step 6: Final answer
    x = 528.45

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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.