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Finding the Fourth Proportional to 458.84, 633.31 and 315.47

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Solution

The fourth proportional to 458.84, 633.31 and 315.47 is: 435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.84 : 633.31 = 315.47 : x
  2. Step 2: Convert to fraction form
    458.84/633.31 = 315.47/x
  3. Step 3: Cross multiply
    458.84x = 633.31 × 315.47
  4. Step 4: Simplify right side
    458.84x = 199,790.31
  5. Step 5: Solve for x
    x = 199,790.31/458.84
  6. Step 6: Final answer
    x = 435.42

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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.