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Finding the Fourth Proportional to 819.03, 1,225.58 and 511.05

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Solution

The fourth proportional to 819.03, 1,225.58 and 511.05 is: 764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.03 : 1,225.58 = 511.05 : x
  2. Step 2: Convert to fraction form
    819.03/1,225.58 = 511.05/x
  3. Step 3: Cross multiply
    819.03x = 1,225.58 × 511.05
  4. Step 4: Simplify right side
    819.03x = 626,330.10
  5. Step 5: Solve for x
    x = 626,330.10/819.03
  6. Step 6: Final answer
    x = 764.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.