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Finding the Fourth Proportional to 955.64, 1,433.64 and 407.80

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Solution

The fourth proportional to 955.64, 1,433.64 and 407.80 is: 611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.64 : 1,433.64 = 407.80 : x
  2. Step 2: Convert to fraction form
    955.64/1,433.64 = 407.80/x
  3. Step 3: Cross multiply
    955.64x = 1,433.64 × 407.80
  4. Step 4: Simplify right side
    955.64x = 584,638.39
  5. Step 5: Solve for x
    x = 584,638.39/955.64
  6. Step 6: Final answer
    x = 611.78

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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.