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Finding the Fourth Proportional to 643.48, 962.81 and 382.52

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Solution

The fourth proportional to 643.48, 962.81 and 382.52 is: 572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.48 : 962.81 = 382.52 : x
  2. Step 2: Convert to fraction form
    643.48/962.81 = 382.52/x
  3. Step 3: Cross multiply
    643.48x = 962.81 × 382.52
  4. Step 4: Simplify right side
    643.48x = 368,292.17
  5. Step 5: Solve for x
    x = 368,292.17/643.48
  6. Step 6: Final answer
    x = 572.35

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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.