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Finding the Fourth Proportional to 819.33, 1,225.40 and 471.80

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Solution

The fourth proportional to 819.33, 1,225.40 and 471.80 is: 705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.33 : 1,225.40 = 471.80 : x
  2. Step 2: Convert to fraction form
    819.33/1,225.40 = 471.80/x
  3. Step 3: Cross multiply
    819.33x = 1,225.40 × 471.80
  4. Step 4: Simplify right side
    819.33x = 578,144.96
  5. Step 5: Solve for x
    x = 578,144.96/819.33
  6. Step 6: Final answer
    x = 705.63

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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.