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Finding the Fourth Proportional to 458.83, 632.71 and 319.11

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Solution

The fourth proportional to 458.83, 632.71 and 319.11 is: 440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.83 : 632.71 = 319.11 : x
  2. Step 2: Convert to fraction form
    458.83/632.71 = 319.11/x
  3. Step 3: Cross multiply
    458.83x = 632.71 × 319.11
  4. Step 4: Simplify right side
    458.83x = 201,904.09
  5. Step 5: Solve for x
    x = 201,904.09/458.83
  6. Step 6: Final answer
    x = 440.04

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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.