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Finding the Fourth Proportional to 500.59, 751.27 and 347.59

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Solution

The fourth proportional to 500.59, 751.27 and 347.59 is: 521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.59 : 751.27 = 347.59 : x
  2. Step 2: Convert to fraction form
    500.59/751.27 = 347.59/x
  3. Step 3: Cross multiply
    500.59x = 751.27 × 347.59
  4. Step 4: Simplify right side
    500.59x = 261,133.94
  5. Step 5: Solve for x
    x = 261,133.94/500.59
  6. Step 6: Final answer
    x = 521.66

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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.