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Finding the Fourth Proportional to 678.54, 935.88 and 454.38

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Solution

The fourth proportional to 678.54, 935.88 and 454.38 is: 626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.54 : 935.88 = 454.38 : x
  2. Step 2: Convert to fraction form
    678.54/935.88 = 454.38/x
  3. Step 3: Cross multiply
    678.54x = 935.88 × 454.38
  4. Step 4: Simplify right side
    678.54x = 425,245.15
  5. Step 5: Solve for x
    x = 425,245.15/678.54
  6. Step 6: Final answer
    x = 626.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.