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Finding the Fourth Proportional to 956.50, 1,433.22 and 407.42

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Solution

The fourth proportional to 956.50, 1,433.22 and 407.42 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.50 : 1,433.22 = 407.42 : x
  2. Step 2: Convert to fraction form
    956.50/1,433.22 = 407.42/x
  3. Step 3: Cross multiply
    956.50x = 1,433.22 × 407.42
  4. Step 4: Simplify right side
    956.50x = 583,922.49
  5. Step 5: Solve for x
    x = 583,922.49/956.50
  6. Step 6: Final answer
    x = 610.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.