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Finding the Fourth Proportional to 453.30, 683.14 and 410.01

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Solution

The fourth proportional to 453.30, 683.14 and 410.01 is: 617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.30 : 683.14 = 410.01 : x
  2. Step 2: Convert to fraction form
    453.30/683.14 = 410.01/x
  3. Step 3: Cross multiply
    453.30x = 683.14 × 410.01
  4. Step 4: Simplify right side
    453.30x = 280,094.23
  5. Step 5: Solve for x
    x = 280,094.23/453.30
  6. Step 6: Final answer
    x = 617.90

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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.