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Finding the Fourth Proportional to 819.54, 1,130.97 and 465.42

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Solution

The fourth proportional to 819.54, 1,130.97 and 465.42 is: 642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.54 : 1,130.97 = 465.42 : x
  2. Step 2: Convert to fraction form
    819.54/1,130.97 = 465.42/x
  3. Step 3: Cross multiply
    819.54x = 1,130.97 × 465.42
  4. Step 4: Simplify right side
    819.54x = 526,376.06
  5. Step 5: Solve for x
    x = 526,376.06/819.54
  6. Step 6: Final answer
    x = 642.28

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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.