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Finding the Fourth Proportional to 623.82, 935.28 and 389.64

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Solution

The fourth proportional to 623.82, 935.28 and 389.64 is: 584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.82 : 935.28 = 389.64 : x
  2. Step 2: Convert to fraction form
    623.82/935.28 = 389.64/x
  3. Step 3: Cross multiply
    623.82x = 935.28 × 389.64
  4. Step 4: Simplify right side
    623.82x = 364,422.50
  5. Step 5: Solve for x
    x = 364,422.50/623.82
  6. Step 6: Final answer
    x = 584.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.