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Finding the Fourth Proportional to 623.52, 935.40 and 418.08

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Solution

The fourth proportional to 623.52, 935.40 and 418.08 is: 627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.52 : 935.40 = 418.08 : x
  2. Step 2: Convert to fraction form
    623.52/935.40 = 418.08/x
  3. Step 3: Cross multiply
    623.52x = 935.40 × 418.08
  4. Step 4: Simplify right side
    623.52x = 391,072.03
  5. Step 5: Solve for x
    x = 391,072.03/623.52
  6. Step 6: Final answer
    x = 627.20

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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.