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Finding the Fourth Proportional to 412.77, 569.14 and 383.61

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Solution

The fourth proportional to 412.77, 569.14 and 383.61 is: 528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.77 : 569.14 = 383.61 : x
  2. Step 2: Convert to fraction form
    412.77/569.14 = 383.61/x
  3. Step 3: Cross multiply
    412.77x = 569.14 × 383.61
  4. Step 4: Simplify right side
    412.77x = 218,327.80
  5. Step 5: Solve for x
    x = 218,327.80/412.77
  6. Step 6: Final answer
    x = 528.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.