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Finding the Fourth Proportional to 569.19, 852.98 and 415.47

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Solution

The fourth proportional to 569.19, 852.98 and 415.47 is: 622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.19 : 852.98 = 415.47 : x
  2. Step 2: Convert to fraction form
    569.19/852.98 = 415.47/x
  3. Step 3: Cross multiply
    569.19x = 852.98 × 415.47
  4. Step 4: Simplify right side
    569.19x = 354,385.52
  5. Step 5: Solve for x
    x = 354,385.52/569.19
  6. Step 6: Final answer
    x = 622.61

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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.