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Finding the Fourth Proportional to 512.98, 769.52 and 485.30

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Solution

The fourth proportional to 512.98, 769.52 and 485.30 is: 728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.98 : 769.52 = 485.30 : x
  2. Step 2: Convert to fraction form
    512.98/769.52 = 485.30/x
  3. Step 3: Cross multiply
    512.98x = 769.52 × 485.30
  4. Step 4: Simplify right side
    512.98x = 373,448.06
  5. Step 5: Solve for x
    x = 373,448.06/512.98
  6. Step 6: Final answer
    x = 728.00

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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.