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Finding the Fourth Proportional to 431.57, 650.24 and 390.49

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Solution

The fourth proportional to 431.57, 650.24 and 390.49 is: 588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.57 : 650.24 = 390.49 : x
  2. Step 2: Convert to fraction form
    431.57/650.24 = 390.49/x
  3. Step 3: Cross multiply
    431.57x = 650.24 × 390.49
  4. Step 4: Simplify right side
    431.57x = 253,913.27
  5. Step 5: Solve for x
    x = 253,913.27/431.57
  6. Step 6: Final answer
    x = 588.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.