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Finding the Fourth Proportional to 819.01, 1,130.25 and 446.01

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Solution

The fourth proportional to 819.01, 1,130.25 and 446.01 is: 615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.01 : 1,130.25 = 446.01 : x
  2. Step 2: Convert to fraction form
    819.01/1,130.25 = 446.01/x
  3. Step 3: Cross multiply
    819.01x = 1,130.25 × 446.01
  4. Step 4: Simplify right side
    819.01x = 504,100.24
  5. Step 5: Solve for x
    x = 504,100.24/819.01
  6. Step 6: Final answer
    x = 615.50

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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.