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Finding the Fourth Proportional to 495.83, 739.39 and 461.21

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Solution

The fourth proportional to 495.83, 739.39 and 461.21 is: 687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.83 : 739.39 = 461.21 : x
  2. Step 2: Convert to fraction form
    495.83/739.39 = 461.21/x
  3. Step 3: Cross multiply
    495.83x = 739.39 × 461.21
  4. Step 4: Simplify right side
    495.83x = 341,009.21
  5. Step 5: Solve for x
    x = 341,009.21/495.83
  6. Step 6: Final answer
    x = 687.75

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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.