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Finding the Fourth Proportional to 414, 570.20 and 385.28

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Solution

The fourth proportional to 414, 570.20 and 385.28 is: 530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 570.20 = 385.28 : x
  2. Step 2: Convert to fraction form
    414/570.20 = 385.28/x
  3. Step 3: Cross multiply
    414x = 570.20 × 385.28
  4. Step 4: Simplify right side
    414x = 219,686.66
  5. Step 5: Solve for x
    x = 219,686.66/414
  6. Step 6: Final answer
    x = 530.64

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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.