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Finding the Fourth Proportional to 504.80, 687.68 and 504.80

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Solution

The fourth proportional to 504.80, 687.68 and 504.80 is: 687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.80 : 687.68 = 504.80 : x
  2. Step 2: Convert to fraction form
    504.80/687.68 = 504.80/x
  3. Step 3: Cross multiply
    504.80x = 687.68 × 504.80
  4. Step 4: Simplify right side
    504.80x = 347,140.86
  5. Step 5: Solve for x
    x = 347,140.86/504.80
  6. Step 6: Final answer
    x = 687.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.