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Finding the Fourth Proportional to 509.88, 703.53 and 391.98

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Solution

The fourth proportional to 509.88, 703.53 and 391.98 is: 540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.88 : 703.53 = 391.98 : x
  2. Step 2: Convert to fraction form
    509.88/703.53 = 391.98/x
  3. Step 3: Cross multiply
    509.88x = 703.53 × 391.98
  4. Step 4: Simplify right side
    509.88x = 275,769.69
  5. Step 5: Solve for x
    x = 275,769.69/509.88
  6. Step 6: Final answer
    x = 540.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.