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Finding the Fourth Proportional to 959.52, 1,323.60 and 648.48

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Solution

The fourth proportional to 959.52, 1,323.60 and 648.48 is: 894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.52 : 1,323.60 = 648.48 : x
  2. Step 2: Convert to fraction form
    959.52/1,323.60 = 648.48/x
  3. Step 3: Cross multiply
    959.52x = 1,323.60 × 648.48
  4. Step 4: Simplify right side
    959.52x = 858,328.13
  5. Step 5: Solve for x
    x = 858,328.13/959.52
  6. Step 6: Final answer
    x = 894.54

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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.