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Finding the Fourth Proportional to 640.44, 959.72 and 315.16

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Solution

The fourth proportional to 640.44, 959.72 and 315.16 is: 472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.44 : 959.72 = 315.16 : x
  2. Step 2: Convert to fraction form
    640.44/959.72 = 315.16/x
  3. Step 3: Cross multiply
    640.44x = 959.72 × 315.16
  4. Step 4: Simplify right side
    640.44x = 302,461.38
  5. Step 5: Solve for x
    x = 302,461.38/640.44
  6. Step 6: Final answer
    x = 472.27

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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.