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Finding the Fourth Proportional to 414.64, 618.98 and 384.64

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Solution

The fourth proportional to 414.64, 618.98 and 384.64 is: 574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.64 : 618.98 = 384.64 : x
  2. Step 2: Convert to fraction form
    414.64/618.98 = 384.64/x
  3. Step 3: Cross multiply
    414.64x = 618.98 × 384.64
  4. Step 4: Simplify right side
    414.64x = 238,084.47
  5. Step 5: Solve for x
    x = 238,084.47/414.64
  6. Step 6: Final answer
    x = 574.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.