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Finding the Fourth Proportional to 480.02, 721.04 and 460.98

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Solution

The fourth proportional to 480.02, 721.04 and 460.98 is: 692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.02 : 721.04 = 460.98 : x
  2. Step 2: Convert to fraction form
    480.02/721.04 = 460.98/x
  3. Step 3: Cross multiply
    480.02x = 721.04 × 460.98
  4. Step 4: Simplify right side
    480.02x = 332,382.71
  5. Step 5: Solve for x
    x = 332,382.71/480.02
  6. Step 6: Final answer
    x = 692.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.