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Finding the Fourth Proportional to 488.92, 729.02 and 482.98

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Solution

The fourth proportional to 488.92, 729.02 and 482.98 is: 720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.92 : 729.02 = 482.98 : x
  2. Step 2: Convert to fraction form
    488.92/729.02 = 482.98/x
  3. Step 3: Cross multiply
    488.92x = 729.02 × 482.98
  4. Step 4: Simplify right side
    488.92x = 352,102.08
  5. Step 5: Solve for x
    x = 352,102.08/488.92
  6. Step 6: Final answer
    x = 720.16

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Why These Related Problems?

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