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Finding the Fourth Proportional to 458.84, 634.02 and 319.52

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Solution

The fourth proportional to 458.84, 634.02 and 319.52 is: 441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.84 : 634.02 = 319.52 : x
  2. Step 2: Convert to fraction form
    458.84/634.02 = 319.52/x
  3. Step 3: Cross multiply
    458.84x = 634.02 × 319.52
  4. Step 4: Simplify right side
    458.84x = 202,582.07
  5. Step 5: Solve for x
    x = 202,582.07/458.84
  6. Step 6: Final answer
    x = 441.51

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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.