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Finding the Fourth Proportional to 955.21, 1,433.12 and 407.11

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Solution

The fourth proportional to 955.21, 1,433.12 and 407.11 is: 610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.21 : 1,433.12 = 407.11 : x
  2. Step 2: Convert to fraction form
    955.21/1,433.12 = 407.11/x
  3. Step 3: Cross multiply
    955.21x = 1,433.12 × 407.11
  4. Step 4: Simplify right side
    955.21x = 583,437.48
  5. Step 5: Solve for x
    x = 583,437.48/955.21
  6. Step 6: Final answer
    x = 610.79

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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.