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Finding the Fourth Proportional to 962.43, 1,328.79 and 648.04

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Solution

The fourth proportional to 962.43, 1,328.79 and 648.04 is: 894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.43 : 1,328.79 = 648.04 : x
  2. Step 2: Convert to fraction form
    962.43/1,328.79 = 648.04/x
  3. Step 3: Cross multiply
    962.43x = 1,328.79 × 648.04
  4. Step 4: Simplify right side
    962.43x = 861,109.07
  5. Step 5: Solve for x
    x = 861,109.07/962.43
  6. Step 6: Final answer
    x = 894.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.