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Finding the Fourth Proportional to 480.50, 719.73 and 463.66

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Solution

The fourth proportional to 480.50, 719.73 and 463.66 is: 694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.50 : 719.73 = 463.66 : x
  2. Step 2: Convert to fraction form
    480.50/719.73 = 463.66/x
  3. Step 3: Cross multiply
    480.50x = 719.73 × 463.66
  4. Step 4: Simplify right side
    480.50x = 333,710.01
  5. Step 5: Solve for x
    x = 333,710.01/480.50
  6. Step 6: Final answer
    x = 694.51

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Why These Related Problems?

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