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Finding the Fourth Proportional to 431.06, 594.62 and 383.84

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Solution

The fourth proportional to 431.06, 594.62 and 383.84 is: 529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.06 : 594.62 = 383.84 : x
  2. Step 2: Convert to fraction form
    431.06/594.62 = 383.84/x
  3. Step 3: Cross multiply
    431.06x = 594.62 × 383.84
  4. Step 4: Simplify right side
    431.06x = 228,238.94
  5. Step 5: Solve for x
    x = 228,238.94/431.06
  6. Step 6: Final answer
    x = 529.48

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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.