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Finding the Fourth Proportional to 955.15, 1,433.13 and 521.80

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Solution

The fourth proportional to 955.15, 1,433.13 and 521.80 is: 782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.15 : 1,433.13 = 521.80 : x
  2. Step 2: Convert to fraction form
    955.15/1,433.13 = 521.80/x
  3. Step 3: Cross multiply
    955.15x = 1,433.13 × 521.80
  4. Step 4: Simplify right side
    955.15x = 747,801.69
  5. Step 5: Solve for x
    x = 747,801.69/955.15
  6. Step 6: Final answer
    x = 782.92

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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.