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Finding the Fourth Proportional to 436.97, 655.00 and 283.01

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Solution

The fourth proportional to 436.97, 655.00 and 283.01 is: 424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.97 : 655.00 = 283.01 : x
  2. Step 2: Convert to fraction form
    436.97/655.00 = 283.01/x
  3. Step 3: Cross multiply
    436.97x = 655.00 × 283.01
  4. Step 4: Simplify right side
    436.97x = 185,367.57
  5. Step 5: Solve for x
    x = 185,367.57/436.97
  6. Step 6: Final answer
    x = 424.21

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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.