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Finding the Fourth Proportional to 623.49, 935.64 and 418.29

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Solution

The fourth proportional to 623.49, 935.64 and 418.29 is: 627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.49 : 935.64 = 418.29 : x
  2. Step 2: Convert to fraction form
    623.49/935.64 = 418.29/x
  3. Step 3: Cross multiply
    623.49x = 935.64 × 418.29
  4. Step 4: Simplify right side
    623.49x = 391,368.86
  5. Step 5: Solve for x
    x = 391,368.86/623.49
  6. Step 6: Final answer
    x = 627.71

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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.