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Finding the Fourth Proportional to 729.60, 964.80 and 729.60

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Solution

The fourth proportional to 729.60, 964.80 and 729.60 is: 964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.60 : 964.80 = 729.60 : x
  2. Step 2: Convert to fraction form
    729.60/964.80 = 729.60/x
  3. Step 3: Cross multiply
    729.60x = 964.80 × 729.60
  4. Step 4: Simplify right side
    729.60x = 703,918.08
  5. Step 5: Solve for x
    x = 703,918.08/729.60
  6. Step 6: Final answer
    x = 964.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.