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Finding the Fourth Proportional to 504.06, 757.31 and 459.11

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Solution

The fourth proportional to 504.06, 757.31 and 459.11 is: 689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.06 : 757.31 = 459.11 : x
  2. Step 2: Convert to fraction form
    504.06/757.31 = 459.11/x
  3. Step 3: Cross multiply
    504.06x = 757.31 × 459.11
  4. Step 4: Simplify right side
    504.06x = 347,682.51
  5. Step 5: Solve for x
    x = 347,682.51/504.06
  6. Step 6: Final answer
    x = 689.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.