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Finding the Fourth Proportional to 800.47, 1,201.45 and 410.75

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Solution

The fourth proportional to 800.47, 1,201.45 and 410.75 is: 616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.47 : 1,201.45 = 410.75 : x
  2. Step 2: Convert to fraction form
    800.47/1,201.45 = 410.75/x
  3. Step 3: Cross multiply
    800.47x = 1,201.45 × 410.75
  4. Step 4: Simplify right side
    800.47x = 493,495.59
  5. Step 5: Solve for x
    x = 493,495.59/800.47
  6. Step 6: Final answer
    x = 616.51

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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.