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Finding the Fourth Proportional to 623.40, 935.04 and 379.88

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Solution

The fourth proportional to 623.40, 935.04 and 379.88 is: 569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.40 : 935.04 = 379.88 : x
  2. Step 2: Convert to fraction form
    623.40/935.04 = 379.88/x
  3. Step 3: Cross multiply
    623.40x = 935.04 × 379.88
  4. Step 4: Simplify right side
    623.40x = 355,203.00
  5. Step 5: Solve for x
    x = 355,203.00/623.40
  6. Step 6: Final answer
    x = 569.78

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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.