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Finding the Fourth Proportional to 640.96, 957.53 and 407.97

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Solution

The fourth proportional to 640.96, 957.53 and 407.97 is: 609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.96 : 957.53 = 407.97 : x
  2. Step 2: Convert to fraction form
    640.96/957.53 = 407.97/x
  3. Step 3: Cross multiply
    640.96x = 957.53 × 407.97
  4. Step 4: Simplify right side
    640.96x = 390,644.53
  5. Step 5: Solve for x
    x = 390,644.53/640.96
  6. Step 6: Final answer
    x = 609.47

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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.