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Finding the Fourth Proportional to 453.58, 683.42 and 410.30

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Solution

The fourth proportional to 453.58, 683.42 and 410.30 is: 618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.58 : 683.42 = 410.30 : x
  2. Step 2: Convert to fraction form
    453.58/683.42 = 410.30/x
  3. Step 3: Cross multiply
    453.58x = 683.42 × 410.30
  4. Step 4: Simplify right side
    453.58x = 280,407.23
  5. Step 5: Solve for x
    x = 280,407.23/453.58
  6. Step 6: Final answer
    x = 618.21

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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.