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Finding the Fourth Proportional to 431.34, 650.40 and 402.63

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Solution

The fourth proportional to 431.34, 650.40 and 402.63 is: 607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.34 : 650.40 = 402.63 : x
  2. Step 2: Convert to fraction form
    431.34/650.40 = 402.63/x
  3. Step 3: Cross multiply
    431.34x = 650.40 × 402.63
  4. Step 4: Simplify right side
    431.34x = 261,870.55
  5. Step 5: Solve for x
    x = 261,870.55/431.34
  6. Step 6: Final answer
    x = 607.11

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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.