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Finding the Fourth Proportional to 962.88, 1,449.60 and 708.48

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Solution

The fourth proportional to 962.88, 1,449.60 and 708.48 is: 1,066.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.88 : 1,449.60 = 708.48 : x
  2. Step 2: Convert to fraction form
    962.88/1,449.60 = 708.48/x
  3. Step 3: Cross multiply
    962.88x = 1,449.60 × 708.48
  4. Step 4: Simplify right side
    962.88x = 1,027,012.61
  5. Step 5: Solve for x
    x = 1,027,012.61/962.88
  6. Step 6: Final answer
    x = 1,066.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.