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Finding the Fourth Proportional to 624.63, 935.94 and 380.67

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Solution

The fourth proportional to 624.63, 935.94 and 380.67 is: 570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.63 : 935.94 = 380.67 : x
  2. Step 2: Convert to fraction form
    624.63/935.94 = 380.67/x
  3. Step 3: Cross multiply
    624.63x = 935.94 × 380.67
  4. Step 4: Simplify right side
    624.63x = 356,284.28
  5. Step 5: Solve for x
    x = 356,284.28/624.63
  6. Step 6: Final answer
    x = 570.39

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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.