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Finding the Fourth Proportional to 509.98, 703.60 and 444.37

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Solution

The fourth proportional to 509.98, 703.60 and 444.37 is: 613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.98 : 703.60 = 444.37 : x
  2. Step 2: Convert to fraction form
    509.98/703.60 = 444.37/x
  3. Step 3: Cross multiply
    509.98x = 703.60 × 444.37
  4. Step 4: Simplify right side
    509.98x = 312,658.73
  5. Step 5: Solve for x
    x = 312,658.73/509.98
  6. Step 6: Final answer
    x = 613.08

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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.