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Finding the Fourth Proportional to 488.36, 728.20 and 482.24

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Solution

The fourth proportional to 488.36, 728.20 and 482.24 is: 719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.36 : 728.20 = 482.24 : x
  2. Step 2: Convert to fraction form
    488.36/728.20 = 482.24/x
  3. Step 3: Cross multiply
    488.36x = 728.20 × 482.24
  4. Step 4: Simplify right side
    488.36x = 351,167.17
  5. Step 5: Solve for x
    x = 351,167.17/488.36
  6. Step 6: Final answer
    x = 719.07

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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.