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Finding the Fourth Proportional to 640.96, 962.40 and 367.36

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Solution

The fourth proportional to 640.96, 962.40 and 367.36 is: 551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.96 : 962.40 = 367.36 : x
  2. Step 2: Convert to fraction form
    640.96/962.40 = 367.36/x
  3. Step 3: Cross multiply
    640.96x = 962.40 × 367.36
  4. Step 4: Simplify right side
    640.96x = 353,547.26
  5. Step 5: Solve for x
    x = 353,547.26/640.96
  6. Step 6: Final answer
    x = 551.59

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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.