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Finding the Fourth Proportional to 508.85, 759.97 and 463.49

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Solution

The fourth proportional to 508.85, 759.97 and 463.49 is: 692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.85 : 759.97 = 463.49 : x
  2. Step 2: Convert to fraction form
    508.85/759.97 = 463.49/x
  3. Step 3: Cross multiply
    508.85x = 759.97 × 463.49
  4. Step 4: Simplify right side
    508.85x = 352,238.50
  5. Step 5: Solve for x
    x = 352,238.50/508.85
  6. Step 6: Final answer
    x = 692.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.