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Finding the Fourth Proportional to 428.63, 640.07 and 359.57

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Solution

The fourth proportional to 428.63, 640.07 and 359.57 is: 536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.63 : 640.07 = 359.57 : x
  2. Step 2: Convert to fraction form
    428.63/640.07 = 359.57/x
  3. Step 3: Cross multiply
    428.63x = 640.07 × 359.57
  4. Step 4: Simplify right side
    428.63x = 230,151.12
  5. Step 5: Solve for x
    x = 230,151.12/428.63
  6. Step 6: Final answer
    x = 536.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.