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Finding the Fourth Proportional to 458.96, 633.48 and 284.56

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Solution

The fourth proportional to 458.96, 633.48 and 284.56 is: 392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.96 : 633.48 = 284.56 : x
  2. Step 2: Convert to fraction form
    458.96/633.48 = 284.56/x
  3. Step 3: Cross multiply
    458.96x = 633.48 × 284.56
  4. Step 4: Simplify right side
    458.96x = 180,263.07
  5. Step 5: Solve for x
    x = 180,263.07/458.96
  6. Step 6: Final answer
    x = 392.76

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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.