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Finding the Fourth Proportional to 729.76, 1,005.60 and 672.16

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Solution

The fourth proportional to 729.76, 1,005.60 and 672.16 is: 926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.76 : 1,005.60 = 672.16 : x
  2. Step 2: Convert to fraction form
    729.76/1,005.60 = 672.16/x
  3. Step 3: Cross multiply
    729.76x = 1,005.60 × 672.16
  4. Step 4: Simplify right side
    729.76x = 675,924.10
  5. Step 5: Solve for x
    x = 675,924.10/729.76
  6. Step 6: Final answer
    x = 926.23

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