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Finding the Fourth Proportional to 485.36, 723.84 and 461.19

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Solution

The fourth proportional to 485.36, 723.84 and 461.19 is: 687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.36 : 723.84 = 461.19 : x
  2. Step 2: Convert to fraction form
    485.36/723.84 = 461.19/x
  3. Step 3: Cross multiply
    485.36x = 723.84 × 461.19
  4. Step 4: Simplify right side
    485.36x = 333,828.75
  5. Step 5: Solve for x
    x = 333,828.75/485.36
  6. Step 6: Final answer
    x = 687.80

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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.