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Finding the Fourth Proportional to 500.73, 746.36 and 461.04

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Solution

The fourth proportional to 500.73, 746.36 and 461.04 is: 687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.73 : 746.36 = 461.04 : x
  2. Step 2: Convert to fraction form
    500.73/746.36 = 461.04/x
  3. Step 3: Cross multiply
    500.73x = 746.36 × 461.04
  4. Step 4: Simplify right side
    500.73x = 344,099.51
  5. Step 5: Solve for x
    x = 344,099.51/500.73
  6. Step 6: Final answer
    x = 687.20

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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.