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Finding the Fourth Proportional to 455.70, 685.84 and 410.96

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Solution

The fourth proportional to 455.70, 685.84 and 410.96 is: 618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.70 : 685.84 = 410.96 : x
  2. Step 2: Convert to fraction form
    455.70/685.84 = 410.96/x
  3. Step 3: Cross multiply
    455.70x = 685.84 × 410.96
  4. Step 4: Simplify right side
    455.70x = 281,852.81
  5. Step 5: Solve for x
    x = 281,852.81/455.70
  6. Step 6: Final answer
    x = 618.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.