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Finding the Fourth Proportional to 458.02, 683.06 and 414.28

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Solution

The fourth proportional to 458.02, 683.06 and 414.28 is: 617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.02 : 683.06 = 414.28 : x
  2. Step 2: Convert to fraction form
    458.02/683.06 = 414.28/x
  3. Step 3: Cross multiply
    458.02x = 683.06 × 414.28
  4. Step 4: Simplify right side
    458.02x = 282,978.10
  5. Step 5: Solve for x
    x = 282,978.10/458.02
  6. Step 6: Final answer
    x = 617.83

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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.