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Finding the Fourth Proportional to 456.19, 628.05 and 382.39

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Solution

The fourth proportional to 456.19, 628.05 and 382.39 is: 526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.19 : 628.05 = 382.39 : x
  2. Step 2: Convert to fraction form
    456.19/628.05 = 382.39/x
  3. Step 3: Cross multiply
    456.19x = 628.05 × 382.39
  4. Step 4: Simplify right side
    456.19x = 240,160.04
  5. Step 5: Solve for x
    x = 240,160.04/456.19
  6. Step 6: Final answer
    x = 526.45

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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.