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Finding the Fourth Proportional to 485.92, 725.64 and 460.96

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Solution

The fourth proportional to 485.92, 725.64 and 460.96 is: 688.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.92 : 725.64 = 460.96 : x
  2. Step 2: Convert to fraction form
    485.92/725.64 = 460.96/x
  3. Step 3: Cross multiply
    485.92x = 725.64 × 460.96
  4. Step 4: Simplify right side
    485.92x = 334,491.01
  5. Step 5: Solve for x
    x = 334,491.01/485.92
  6. Step 6: Final answer
    x = 688.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.