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Finding the Fourth Proportional to 537.80, 735.49 and 523.40

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Solution

The fourth proportional to 537.80, 735.49 and 523.40 is: 715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 735.49 = 523.40 : x
  2. Step 2: Convert to fraction form
    537.80/735.49 = 523.40/x
  3. Step 3: Cross multiply
    537.80x = 735.49 × 523.40
  4. Step 4: Simplify right side
    537.80x = 384,955.47
  5. Step 5: Solve for x
    x = 384,955.47/537.80
  6. Step 6: Final answer
    x = 715.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.