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Finding the Fourth Proportional to 685.48, 946.02 and 419.92

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Solution

The fourth proportional to 685.48, 946.02 and 419.92 is: 579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.48 : 946.02 = 419.92 : x
  2. Step 2: Convert to fraction form
    685.48/946.02 = 419.92/x
  3. Step 3: Cross multiply
    685.48x = 946.02 × 419.92
  4. Step 4: Simplify right side
    685.48x = 397,252.72
  5. Step 5: Solve for x
    x = 397,252.72/685.48
  6. Step 6: Final answer
    x = 579.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.