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Finding the Fourth Proportional to 504.64, 757.97 and 485.61

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Solution

The fourth proportional to 504.64, 757.97 and 485.61 is: 729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.64 : 757.97 = 485.61 : x
  2. Step 2: Convert to fraction form
    504.64/757.97 = 485.61/x
  3. Step 3: Cross multiply
    504.64x = 757.97 × 485.61
  4. Step 4: Simplify right side
    504.64x = 368,077.81
  5. Step 5: Solve for x
    x = 368,077.81/504.64
  6. Step 6: Final answer
    x = 729.39

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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.