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Finding the Fourth Proportional to 508.49, 766.28 and 459.78

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Solution

The fourth proportional to 508.49, 766.28 and 459.78 is: 692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.49 : 766.28 = 459.78 : x
  2. Step 2: Convert to fraction form
    508.49/766.28 = 459.78/x
  3. Step 3: Cross multiply
    508.49x = 766.28 × 459.78
  4. Step 4: Simplify right side
    508.49x = 352,314.09
  5. Step 5: Solve for x
    x = 352,314.09/508.49
  6. Step 6: Final answer
    x = 692.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.