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Finding the Fourth Proportional to 569.46, 852.21 and 407.46

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Solution

The fourth proportional to 569.46, 852.21 and 407.46 is: 609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.46 : 852.21 = 407.46 : x
  2. Step 2: Convert to fraction form
    569.46/852.21 = 407.46/x
  3. Step 3: Cross multiply
    569.46x = 852.21 × 407.46
  4. Step 4: Simplify right side
    569.46x = 347,241.49
  5. Step 5: Solve for x
    x = 347,241.49/569.46
  6. Step 6: Final answer
    x = 609.77

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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.