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Finding the Fourth Proportional to 962.64, 1,326.96 and 709.92

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Solution

The fourth proportional to 962.64, 1,326.96 and 709.92 is: 978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.64 : 1,326.96 = 709.92 : x
  2. Step 2: Convert to fraction form
    962.64/1,326.96 = 709.92/x
  3. Step 3: Cross multiply
    962.64x = 1,326.96 × 709.92
  4. Step 4: Simplify right side
    962.64x = 942,035.44
  5. Step 5: Solve for x
    x = 942,035.44/962.64
  6. Step 6: Final answer
    x = 978.60

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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.