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Finding the Fourth Proportional to 753.85, 1,039.66 and 504.91

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Solution

The fourth proportional to 753.85, 1,039.66 and 504.91 is: 696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.85 : 1,039.66 = 504.91 : x
  2. Step 2: Convert to fraction form
    753.85/1,039.66 = 504.91/x
  3. Step 3: Cross multiply
    753.85x = 1,039.66 × 504.91
  4. Step 4: Simplify right side
    753.85x = 524,934.73
  5. Step 5: Solve for x
    x = 524,934.73/753.85
  6. Step 6: Final answer
    x = 696.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.