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Finding the Fourth Proportional to 458.43, 633.60 and 403.62

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Solution

The fourth proportional to 458.43, 633.60 and 403.62 is: 557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.43 : 633.60 = 403.62 : x
  2. Step 2: Convert to fraction form
    458.43/633.60 = 403.62/x
  3. Step 3: Cross multiply
    458.43x = 633.60 × 403.62
  4. Step 4: Simplify right side
    458.43x = 255,733.63
  5. Step 5: Solve for x
    x = 255,733.63/458.43
  6. Step 6: Final answer
    x = 557.85

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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.