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Finding the Fourth Proportional to 509.85, 708.32 and 504.85

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Solution

The fourth proportional to 509.85, 708.32 and 504.85 is: 701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.85 : 708.32 = 504.85 : x
  2. Step 2: Convert to fraction form
    509.85/708.32 = 504.85/x
  3. Step 3: Cross multiply
    509.85x = 708.32 × 504.85
  4. Step 4: Simplify right side
    509.85x = 357,595.35
  5. Step 5: Solve for x
    x = 357,595.35/509.85
  6. Step 6: Final answer
    x = 701.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.