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Finding the Fourth Proportional to 458.68, 633.03 and 318.76

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Solution

The fourth proportional to 458.68, 633.03 and 318.76 is: 439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.68 : 633.03 = 318.76 : x
  2. Step 2: Convert to fraction form
    458.68/633.03 = 318.76/x
  3. Step 3: Cross multiply
    458.68x = 633.03 × 318.76
  4. Step 4: Simplify right side
    458.68x = 201,784.64
  5. Step 5: Solve for x
    x = 201,784.64/458.68
  6. Step 6: Final answer
    x = 439.92

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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.