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Finding the Fourth Proportional to 569.03, 852.61 and 447.83

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Solution

The fourth proportional to 569.03, 852.61 and 447.83 is: 671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.03 : 852.61 = 447.83 : x
  2. Step 2: Convert to fraction form
    569.03/852.61 = 447.83/x
  3. Step 3: Cross multiply
    569.03x = 852.61 × 447.83
  4. Step 4: Simplify right side
    569.03x = 381,822.99
  5. Step 5: Solve for x
    x = 381,822.99/569.03
  6. Step 6: Final answer
    x = 671.01

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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.