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Finding the Fourth Proportional to 431.28, 650.16 and 396.72

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Solution

The fourth proportional to 431.28, 650.16 and 396.72 is: 598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.28 : 650.16 = 396.72 : x
  2. Step 2: Convert to fraction form
    431.28/650.16 = 396.72/x
  3. Step 3: Cross multiply
    431.28x = 650.16 × 396.72
  4. Step 4: Simplify right side
    431.28x = 257,931.48
  5. Step 5: Solve for x
    x = 257,931.48/431.28
  6. Step 6: Final answer
    x = 598.06

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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.