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Finding the Fourth Proportional to 955.02, 1,431.43 and 521.42

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Solution

The fourth proportional to 955.02, 1,431.43 and 521.42 is: 781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.02 : 1,431.43 = 521.42 : x
  2. Step 2: Convert to fraction form
    955.02/1,431.43 = 521.42/x
  3. Step 3: Cross multiply
    955.02x = 1,431.43 × 521.42
  4. Step 4: Simplify right side
    955.02x = 746,376.23
  5. Step 5: Solve for x
    x = 746,376.23/955.02
  6. Step 6: Final answer
    x = 781.53

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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.